The curriculum for Maths in Year 8

Here is an overview of the Year 8 math curriculum based on the National Curriculum of England:

**Number and Calculation:**- Extending knowledge of numbers to include positive and negative integers, decimals, and fractions.
- Performing calculations involving addition, subtraction, multiplication, and division of numbers, including decimals and fractions.
- Exploring and applying the concepts of ratio, proportion, and percentages in various contexts.
- Developing fluency in mental calculations and using efficient written methods for calculations.

**Algebra:**- Expanding understanding of algebraic expressions and equations.
- Simplifying and manipulating algebraic expressions, including factorizing and expanding.
- Solving linear equations and inequalities with one variable.
- Recognizing and extending number patterns and sequences.
- Representing and analyzing mathematical relationships using graphs, tables, and formulae.

**Geometry and Measures:**- Understanding and applying properties of angles, including angles in parallel lines, triangles, and polygons.
- Calculating perimeter, area, and volume of 2D and 3D shapes.
- Applying Pythagoras’ theorem to solve problems involving right-angled triangles.
- Understanding and using transformations, such as translations, rotations, and reflections.
- Converting between units of measurement for length, area, volume, mass, and time.

**Statistics and Probability:**- Collecting, organizing, and interpreting data using various graphical representations.
- Calculating and interpreting measures of central tendency and spread, such as mean, median, mode, range, and interquartile range.
- Understanding probability concepts, including experimental and theoretical probability.
- Solving problems involving probability and understanding the concepts of independent and dependent events.

**Ratio and Proportion:**- Applying the concepts of direct and inverse proportion to solve problems.
- Using ratio notation and understanding scaling factors.
- Converting between fractions, decimals, and percentages.
- Applying ratio and proportion in real-life contexts, such as scale drawing, recipes, and financial calculations.

**Problem Solving and Reasoning:**- Developing problem-solving skills and strategies to tackle complex mathematical problems.
- Applying logical reasoning, critical thinking, and creativity to solve mathematical problems.
- Communicating mathematical ideas and solutions effectively using appropriate mathematical language and notation.
- Exploring real-life applications of mathematics and solving problems in various contexts.

This overview provides a general idea of the topics covered in the Year 8 math curriculum, focusing on the development of mathematical skills, problem-solving abilities, and application of concepts in real-life situations.

#### Number Theory-Online Practice Question

- Classify numbers into different types such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers
- Compare and order numbers written in standard form, including scientific notation🔒
- Learn and apply divisibility rules for numbers, including rules for divisibility by 2, 3, 4, 5, 6, 9, and 10🔒
- Solve word problems involving the highest common factor (HCF) and lowest common multiple (LCM) of numbers🔒
- Find the highest common factor (HCF) of two or more numbers🔒
- Determine the lowest common multiple (LCM) of two or more numbers🔒
- Explore the concept of multiplicative inverses and learn how to find them for different numbers🔒
- Decompose numbers into their prime factors using prime factorisation🔒
- Identify whether a number is prime or composite🔒
- Express numbers in standard form, also known as scientific notation🔒

#### Integers-Online Practice Question

- Absolute value and opposite integers: Learn about the concept of absolute value and how to determine the opposite of an integer
- Compare and order integers: Understand how to compare and arrange integers in ascending or descending order🔒
- Graph integers on horizontal and vertical number lines: Practice representing integers visually on both horizontal and vertical number lines🔒
- Integer inequalities with absolute values: Explore inequalities involving integers and absolute values, including solving and graphing solutions on a number line🔒
- Integers on number lines: Gain a solid understanding of integers and their placement on number lines🔒
- Understanding integers: Learn the fundamental concepts of integers, including positive and negative numbers, and their significance in real-world contexts🔒

#### Rational Numbers-Online Practice Question

- Understand and find the absolute value of rational numbers, including positive and negative fractions and decimals
- Learn how to add and subtract rational numbers, including fractions and decimals🔒
- Apply rules and properties of addition and subtraction when working with rational numbers🔒
- Apply rules and properties of multiplication and division when working with rational numbers🔒
- Compare and order rational numbers using inequality symbols, including fractions and decimals🔒
- Convert between decimal representations and fractional or mixed number representations of rational numbers🔒
- Identify and classify numbers as rational numbers, including fractions, decimals, and integers🔒
- Learn how to multiply and divide rational numbers, including fractions and decimals🔒
- Arrange rational numbers in ascending or descending order, considering both positive and negative values🔒

#### Whole Numbers-Online Practice Question

- Learn how to add and subtract integers using rules and strategies
- Solve word problems that involve addition and subtraction of integers🔒
- Use counters or visual representations to model and solve addition and subtraction problems with integers🔒
- Fill in missing numbers or signs to complete addition and subtraction sentences involving integers🔒
- Fill in missing numbers or signs to complete multiplication and division sentences involving integers🔒
- Simplify and evaluate numerical expressions that include integers using the correct order of operations🔒
- Understand and apply the rules and properties for adding and subtracting integers🔒
- Understand and apply the rules and properties for multiplying and dividing integers🔒
- Learn how to multiply and divide integers, including rules and strategies for handling positive and negative numbers🔒

#### Linear Function-Online Practice Question

- Find a missing coordinate using gradient: Given a point and the gradient (slope) of a linear function, find the missing coordinate (x or y value)
- Find the gradient from a graph: Determine the gradient (slope) of a linear function by analyzing the graph🔒
- Find the gradient from an equation: Calculate the gradient (slope) of a linear function given its equation🔒
- Find the gradient from two points: Determine the gradient (slope) of a linear function using two given points on the line🔒
- Graph a line using gradient: Use the gradient (slope) and a given point to graph a linear function🔒
- Identify linear and nonlinear functions: Learn to distinguish between linear and nonlinear functions based on their equations, graphs, or tables of values🔒
- Write a linear function: Create the equation of a linear function given information such as the gradient (slope) and a point on the line🔒

#### Sequences-Online Practice Question

- Understand arithmetic sequences and learn how to find the common difference and nth term
- Substitute values into variable expressions to find terms in a given number sequence🔒
- Explore geometric sequences and learn about the common ratio and nth term🔒
- Distinguish between arithmetic and geometric sequences based on their patterns🔒
- Review and practice various concepts related to number sequences🔒
- Apply number sequence concepts to real-world word problems🔒
- Write algebraic expressions that represent arithmetic sequences🔒

#### One-variable inequalities-Online Practice Question

#### Ratios, rates and proportions-Online Practice Question

- Compare ratios: word problems: Solve word problems that involve comparing ratios and determining their relationship
- Constant rate of change: Understand and calculate the constant rate of change in a linear relationship🔒
- Do the ratios form a proportion: word problems: Solve word problems that involve determining whether given ratios form a proportion🔒
- Do the ratios form a proportion: Determine whether given ratios form a proportion by comparing their cross products🔒
- Equivalent ratios: word problems: Solve word problems that involve finding equivalent ratios🔒
- Estimate population size using proportions: Use proportions to estimate the size of a population based on sample data🔒
- Identify equivalent ratios: Identify ratios that are equivalent by simplifying or finding a common factor🔒
- Rate of change: Understand and calculate the rate of change in a linear relationship🔒
- Scale drawings: word problems: Solve word problems that involve creating and interpreting scale drawings🔒
- Solve proportions: Solve proportions by cross-multiplying and simplifying the equation🔒
- Solve proportions: word problems: Solve word problems that involve solving proportions to find unknown quantities🔒
- Understanding ratios: Understand the concept of ratios and how they represent the relationship between two quantities🔒
- Unit rates: Calculate unit rates by finding the ratio of two quantities with different units of measurement🔒
- Write an equivalent ratio: Find an equivalent ratio by multiplying or dividing both parts of a ratio by the same number🔒

#### Proportional relationships-Online Practice Question

- Find the constant of proportionality from a graph: Determine the constant of proportionality (slope) from a graph representing a proportional relationship
- Find the constant of proportionality from a table: Determine the constant of proportionality by examining the ratios of corresponding values in a table representing a proportional relationship🔒
- Identify proportional relationships: Recognize and identify situations or sets of values that exhibit a proportional relationship🔒
- Identify proportional relationships by graphing: Determine if a relationship between two variables is proportional by examining the linearity and passing through the origin on a graph🔒
- Interpret graphs of proportional relationships: Analyze and interpret graphs that represent proportional relationships, including slope and intercept🔒
- Write and solve equations for proportional relationships: Express a proportional relationship between two variables using an equation and solve for unknown values🔒
- Write equations for proportional relationships from a graph: Determine the equation representing a proportional relationship based on a given graph🔒
- Write equations for proportional relationships from a table: Determine the equation representing a proportional relationship based on a given table🔒

#### Understanding decimals-Online Practice Question

- Compare and order decimals: Determine the relative size of decimals and arrange them in ascending or descending order
- Decimal number lines: Represent decimals on a number line to visualize their position and order🔒
- Decimal numbers review: Review the properties, operations, and representation of decimal numbers🔒
- Round decimals: Approximate decimal numbers to a specified place value or decimal point🔒

#### Operations with decimals-Online Practice Question

- Add, subtract, multiply and divide decimals: word problems: Solve word problems that involve addition, subtraction, multiplication, and division of decimals
- Add and subtract decimals: Perform addition and subtraction operations with decimals🔒
- Add and subtract decimals: word problems: Solve word problems that require adding and subtracting decimals🔒
- Divide decimals: Divide decimals by other decimals or whole numbers🔒
- Divide decimals by whole numbers: word problems: Solve word problems that involve dividing decimals by whole numbers🔒
- Estimate sums, differences, and products of decimals: Make approximations of the results of adding, subtracting, and multiplying decimals🔒
- Evaluate numerical expressions involving decimals: Solve numerical expressions that contain decimals by performing the indicated operations🔒
- Maps with decimal distances: Solve problems involving maps that contain distances expressed as decimals🔒
- Multi-step inequalities with decimals: Solve inequalities that involve multiple steps and contain decimal numbers🔒
- Multiply and divide decimals by powers of ten: Multiply or divide decimals by powers of ten (10, 100, 1000, etc🔒) to shift the decimal point🔒
- Multiply decimals: Perform multiplication operations with decimals🔒

#### Percent-Online Practice Question

- Compare percents to fractions and decimals: Compare and analyze the relationships between percents, fractions, and decimals
- Convert between percents, fractions, and decimals: Convert between different representations of numbers, including percents, fractions, and decimals🔒
- Estimate percents of numbers: Make approximate calculations of the percent value of a given number🔒
- Percents of numbers: word problems: Solve word problems that involve finding the percent of a number🔒
- Percents of numbers and money amounts: Determine the percent value of a given number or money amount🔒
- Solve percent equations: Solve equations that involve finding the percent value of a number🔒
- Solve percent equations: word problems: Solve word problems that require solving equations to find the percent value🔒
- Analyze and interpret visual representations such as diagrams, bar graphs, or pie charts to determine the percentage or proportion represented by each category or segment🔒

#### Understanding fractions-Online Practice Question

- Compare and order fractions: Determine the relative size of fractions and arrange them in ascending or descending order
- Compare fractions: word problems: Solve word problems that involve comparing fractions and determine which fraction is larger or smaller🔒
- Compare mixed numbers and improper fractions: Compare and determine the relationship between mixed numbers (a whole number and a fraction) and improper fractions (where the numerator is greater than or equal to the denominator)🔒
- Convert between mixed numbers and improper fractions: Convert mixed numbers to improper fractions and vice versa🔒
- Equivalent fractions: Identify fractions that are equivalent, meaning they represent the same quantity but may have different numerators and denominators🔒
- Fractions: word problems with graphs and tables: Solve word problems that involve fractions and utilize graphs or tables to represent the given information🔒
- Lowest common denominator: Determine the least common multiple of the denominators of two or more fractions to find the lowest common denominator🔒
- Round mixed numbers: Round mixed numbers to a specified place value or to the nearest whole number🔒
- Understanding fractions: word problems: Solve word problems that involve fractions and demonstrate an understanding of the concepts and operations related to fractions🔒
- Write fractions in lowest terms: Simplify fractions by reducing them to their lowest terms, where the numerator and denominator have no common factors other than 1🔒

#### Exponents and Square Root-Online Practice Question

- Estimate square roots: Approximate the value of square roots without using a calculator
- Evaluate exponents: Solve mathematical expressions involving exponents by calculating the value🔒
- Evaluate numerical expressions involving exponents: Simplify and compute numerical expressions containing exponents🔒
- Exponents with decimal and fractional bases: Apply exponent rules to expressions with decimal or fractional bases🔒
- Exponents with negative bases: Understand and evaluate expressions with negative bases and exponents🔒
- Solve equations with variable exponents: Find solutions to equations that involve variables as exponents🔒
- Square roots of perfect squares: Determine the square root of perfect square numbers🔒
- Understanding exponents: Grasp the concept and properties of exponents, including base, exponent, and power🔒

#### Operations with fractions-Online Practice Question

- Add, subtract, multiply and divide fractions and mixed numbers: word problems: Solve word problems that involve addition, subtraction, multiplication, and division of fractions and mixed numbers
- Add and subtract fractions: Perform addition and subtraction operations with fractions🔒
- Add and subtract fractions: word problems: Solve word problems that require adding and subtracting fractions🔒
- Add and subtract mixed numbers: Perform addition and subtraction operations with mixed numbers🔒
- Add and subtract mixed numbers: word problems: Solve word problems that require adding and subtracting mixed numbers🔒
- Divide fractions: Divide one fraction by another fraction🔒
- Divide fractions: word problems: Solve word problems that involve dividing fractions🔒
- Divide whole numbers and unit fractions: Divide whole numbers by fractions where the numerator is 1🔒
- Divide whole numbers by unit fractions using models: Use visual models to divide whole numbers by unit fractions🔒
- Estimate products and quotients of fractions and mixed numbers: Make approximations of the results of multiplying and dividing fractions and mixed numbers🔒
- Estimate sums and differences of mixed numbers: Make approximations of the results of adding and subtracting mixed numbers🔒
- Evaluate numerical expressions involving fractions: Solve numerical expressions that contain fractions by performing the indicated operations🔒
- Inequalities with addition and subtraction of fractions and mixed numbers: Solve inequalities that involve addition and subtraction of fractions and mixed numbers🔒
- Multiply fractions: Perform multiplication operations with fractions🔒
- Multiply fractions: word problems: Solve word problems that require multiplying fractions🔒
- Multiply fractions and whole numbers: Perform multiplication operations with fractions and whole numbers🔒
- Multiply fractions and whole numbers: word problems: Solve word problems that require multiplying fractions and whole numbers🔒
- Multiply three or more fractions and whole numbers: Perform multiplication operations with three or more fractions and whole numbers🔒
- Multiply two fractions using models: Use visual models to multiply two fractions🔒
- Reciprocals: Find the reciprocal of a fraction or mixed number🔒

#### Problems solving –Online Practice Question

- Elapsed time word problems: Solve word problems that involve calculating the amount of time that has passed between two given times or events
- Estimate to solve word problems: Use estimation techniques to approximate the solution to word problems when precise calculations are not necessary or feasible🔒
- Find the number of each type of coin: Determine the number of different types of coins (such as quarters, dimes, nickels, and pennies) given a total value or a specified number of coins🔒
- Guess-and-check word problems: Solve word problems by making educated guesses, trying different solutions, and adjusting as needed until the correct answer is found🔒
- Multi-step word problems: Solve complex word problems that require multiple steps and operations to find the solution🔒
- Use Venn diagrams to solve problems: Utilize Venn diagrams, which are visual representations of sets and their relationships, to solve problems involving overlapping or non-overlapping categories or groups🔒

#### Consumer maths –Online Practice Question

- Add, subtract, multiply and divide money amounts: word problems – Solve word problems involving addition, subtraction, multiplication, and division of money amounts
- Compound interest – Calculate the interest earned or owed on an initial amount of money, taking into account compounding over time🔒
- Estimate tips – Approximate the amount to tip based on a given percentage or rounding method🔒
- Find the percent: discount and mark-up – Calculate the discount or mark-up amount based on a given percentage🔒
- Multi-step problems with percents – Solve word problems that involve multiple steps and calculations with percentages🔒
- Percent of a number: VAT, discount, and more – Find the percentage of a given number, such as calculating VAT (Value Added Tax) or determining the amount saved with a discount🔒
- Price lists – Interpret and work with price lists that include various items and their corresponding prices🔒
- Sale prices: find the original price – Determine the original price of an item when given the sale price and the discount percentage🔒
- Simple interest – Calculate the interest earned or owed on an initial amount of money based on a fixed interest rate and time period🔒
- Unit prices – Determine the cost per unit of a product or service by dividing the total price by the quantity🔒

#### One Variables Equations-Online Practice Question

- Model and solve equations using algebra tiles: Learn how to use algebra tiles to represent and solve equations involving one variable
- Solve equations: complete the solution: Practice solving equations by finding the missing variable values that make the equation true🔒
- Solve equations: word problems: Apply equation-solving skills to real-world word problems🔒
- Solve equations involving like terms: Solve equations that involve combining like terms or simplifying expressions🔒
- Solve one-step equations: Master the skill of solving equations that require only one step🔒
- Solve two-step equations: Extend your equation-solving skills to two-step equations🔒
- Which x satisfies an equation?: Determine the values of x that satisfy a given equation🔒
- Write and solve equations that represent diagrams: Translate diagrams or visual representations into equations and solve them🔒
- Write an equation from words: Practice writing equations from verbal descriptions or word problems🔒

#### Statistics –Online Practice Question

- Calculate mean, median, mode, and range: Learn how to calculate these measures of central tendency and variability for a given data set
- Changes in mean, median, mode, and range: Explore how the mean, median, mode, and range can change when data values are added, removed, or modified🔒
- Identify representative, random, and biased samples: Understand the concepts of representative, random, and biased samples in statistical analysis🔒
- Interpret charts to find mean, median, mode, and range: Analyze different types of charts, such as histograms or line plots, to determine the mean, median, mode, and range of a data set🔒
- Mean, median, mode, and range: find the missing number: Use the given mean, median, mode, and range to find the missing number in a data set🔒

#### Three-dimensional figures-Online Practice Question

- Bases of three-dimensional figures – Understand the concept of bases in three-dimensional figures, which are the flat surfaces that form the bottom and top of the figure.
- Front, side, and top view – Visualize and interpret the front, side, and top views of three-dimensional figures. These views provide different perspectives of the figure from different angles.🔒

#### Geometric measurement-Online Practice Question

- Area and perimeter: word problems – Solve word problems that involve finding the area and perimeter of various shapes, such as rectangles, triangles, and circles
- Area between two shapes – Calculate the area of the region between two intersecting shapes, such as two overlapping circles or a rectangle and a triangle🔒
- Area of compound figures with triangles, semicircles, and quarter circles – Find the area of complex shapes composed of multiple simpler shapes, including triangles, semicircles, and quarter circles🔒
- Area of rectangles and parallelograms – Determine the area of rectangles and parallelograms using the formula base × height🔒
- Area of triangles and trapezium – Calculate the area of triangles using the formula ½ × base × height, and the area of trapeziums using the formula ½ × (sum of parallel sides) × height🔒
- Circles: calculate area, circumference, radius, and diameter – Find the area and circumference of circles using the formulas A = πr² and C = 2πr, and relate the concepts of radius and diameter🔒
- Circles: word problems – Solve word problems that involve circles, such as finding the radius or diameter given the circumference or area🔒
- Perimeter – Determine the perimeter of various shapes, including rectangles, triangles, and irregular polygons, by adding the lengths of their sides🔒
- Perimeter, area, and volume: changes in scale – Explore how changes in the scale of a shape affect its perimeter, area, and volume🔒
- Quarter circles: calculate area, perimeter, and radius – Calculate the area, perimeter, and radius of quarter circles, which are circles divided into four equal parts🔒
- Semicircles: calculate area, perimeter, radius, and diameter – Find the area, perimeter, radius, and diameter of semicircles, which are half of a circle🔒
- Surface area – Calculate the surface area of three-dimensional objects, such as cubes, rectangular prisms, and cylinders🔒
- Volume – Determine the volume of three-dimensional objects, including cubes, rectangular prisms, and cylinders, using the appropriate formulas🔒
- Volume and surface area of triangular prisms – Calculate the volume and surface area of triangular prisms, which are three-dimensional objects with triangular bases🔒

#### Probability –Online Practice Question

- Compound events: find the number of outcomes: Calculate the number of possible outcomes in compound events using counting principles.
- Counting principle: Apply the counting principle to determine the total number of outcomes in an event.🔒
- Experimental probability: Determine the probability of an event based on experimental data and observations.🔒
- Make predictions: Use probability to make predictions about the likelihood of specific events occurring.🔒
- Probability of opposite, mutually exclusive, and overlapping events: Calculate the probabilities of opposite, mutually exclusive, and overlapping events.🔒
- Probability of simple events: Calculate the probabilities of simple, independent events.🔒

#### Two-dimensional figures-Online Practice Question

- Classify quadrilaterals – Identify and classify quadrilaterals based on their properties, such as parallel sides, equal angles, and diagonals
- Classify triangles – Identify and classify triangles based on their side lengths and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles🔒
- Find lengths and measures of bisected line segments and angles – Determine the lengths of line segments or the measures of angles that have been bisected (divided into two equal parts)🔒
- Find measures of complementary, supplementary, vertical, and adjacent angles – Determine the measures of angles that are complementary (add up to 90 degrees), supplementary (add up to 180 degrees), vertical (opposite angles formed by intersecting lines), or adjacent (side-by-side angles formed by intersecting lines)🔒
- Find missing angles in triangles and quadrilaterals – Determine the measures of missing angles in triangles and quadrilaterals using the properties of angles and the relationships between angles in these figures🔒
- Graph triangles and quadrilaterals – Draw and label triangles and quadrilaterals on a coordinate plane or grid🔒
- Identify and classify polygons – Identify and classify polygons based on the number of sides and angles they have, such as triangles, quadrilaterals, pentagons, hexagons, and so on🔒
- Identify complementary, supplementary, vertical, adjacent angles, and congruent angles – Recognize and identify different types of angles, including complementary angles, supplementary angles, vertical angles, adjacent angles, and congruent angles🔒
- Identify trapeziums – Recognize and identify trapeziums, which are quadrilaterals with one pair of parallel sides🔒
- Interior angles of polygons – Determine the measures of interior angles in polygons based on the number of sides they have🔒
- Lines, line segments, and rays – Understand the concepts of lines, line segments, and rays, and their characteristics🔒
- Name, measure, and classify angles – Name, measure, and classify angles based on their size and properties, such as acute, right, obtuse, and straight angles🔒

#### Two Variable equations –Online Practice Question

- Complete a table for a two-variable relationship: Given a two-variable equation, fill in a table of values that satisfy the equation
- Does (x, y) satisfy the equation?: Determine whether a given point 🔒
- satisfies a given two-variable equation🔒
- Graph a two-variable equation: Plot points on a graph to represent the solution set of a two-variable equation🔒
- Identify independent and dependent variables: Determine which variable is independent (input) and which is dependent (output) in a two-variable equation or relationship🔒
- Identify the graph of an equation: Recognize the shape and characteristics of the graph of a two-variable equation🔒
- Interpret a graph: word problems: Analyze a graph representing a two-variable equation to solve word problems and extract information🔒
- Solve word problems involving two-variable equations: Translate word problems into two-variable equations and solve them algebraically🔒
- Write an equation from a graph using a table: Given a graph and a table of values, write the equation representing the relationship between the variables🔒
- Write a two-variable equation: Formulate a two-variable equation based on a given problem or scenario🔒

#### Unit of measurement-Online Practice Question

- Compare and convert metric units – Compare and convert between different metric units of length (e.g., millimeters, centimeters, meters, kilometers), mass (e.g., milligrams, grams, kilograms), and capacity (e.g., milliliters, liters)
- Convert between cubic meters and liters – Convert between cubic meters and liters, which are units of volume used in the metric system🔒
- Convert between metric and imperial units – Convert between units of measurement in the metric system (e.g., meters, kilograms, liters) and units of measurement in the imperial system (e.g., inches, pounds, gallons)🔒
- Convert between square meters and hectares – Convert between square meters (a unit of area) and hectares (a larger unit of area equal to 10,000 square meters)🔒
- Convert square and cubic units of length – Convert between square units (e.g., square meters, square centimeters) and cubic units (e.g., cubic meters, cubic centimeters) of length, which are used to measure area and volume, respectively🔒
- Estimate imperial measurements – Make estimations and approximations when using units of measurement in the imperial system, such as inches, feet, yards, and miles🔒
- Estimate metric measurements – Make estimations and approximations when using units of measurement in the metric system, such as millimeters, centimeters, meters, and kilometers🔒
- Imperial mixed units – Work with and convert between mixed units in the imperial system, which involve combinations of different units (e.g., feet and inches, pounds and ounces)🔒
- Metric mixed units – Work with and convert between mixed units in the metric system, which involve combinations of different units (e.g., centimeters and millimeters, kilograms and grams)🔒
- Units of measurement – Precision

#### Data and graphs –Online Practice Question

- Choose the best type of graph: Learn how to select the appropriate type of graph to represent different types of data and relationships
- Create bar graphs for categorical data: Construct bar graphs to display and compare categorical data using bars of different heights🔒
- Create bar graphs for continuous data: Construct bar graphs to represent continuous data by grouping data into intervals🔒
- Create frequency charts: Construct frequency charts to organize and display the frequency of data values or intervals🔒
- Create line graphs: Create line graphs to represent the relationship between two variables over a continuous range🔒
- Create line plots: Create line plots (dot plots) to display data values along a number line🔒
- Create stem-and-leaf plots: Construct stem-and-leaf plots to organize and display data values🔒
- Interpret bar graphs for categorical data: Analyze and interpret bar graphs representing categorical data to make conclusions and comparisons🔒
- Interpret bar graphs for continuous data: Analyze and interpret bar graphs representing continuous data to make conclusions and comparisons🔒
- Interpret box-and-whisker plots: Analyze and interpret box-and-whisker plots to determine measures of central tendency, spread, and outliers in a data set🔒
- Interpret line graphs: Analyze and interpret line graphs to understand trends, patterns, and relationships between variables🔒
- Interpret line plots: Analyze and interpret line plots (dot plots) to determine the frequency and distribution of data values🔒
- Interpret pie charts: Analyze and interpret pie charts to understand the proportion and composition of different categories in a data set🔒
- Interpret stem-and-leaf plots: Analyze and interpret stem-and-leaf plots to determine the frequency and distribution of data values🔒
- Interpret tables: Analyze and interpret data presented in tables to extract information and draw conclusions🔒
- Pie charts and central angles: Understand how to calculate central angles and interpret them in pie charts representing categorical data🔒
- Scatter plots: Construct and interpret scatter plots to visualize the relationship between two variables and identify patterns or correlations🔒

#### Expression & Properties –Online Practice Question

- Add, subtract, and multiply linear expressions: Perform addition, subtraction, and multiplication operations on linear expressions, which involve variables raised to the power of 1
- Add and subtract like terms: Combine terms with similar variables and exponents by adding or subtracting their coefficients🔒
- Evaluate absolute value expressions: Compute the numerical value of expressions that involve the absolute value function🔒
- Evaluate linear expressions: Substitute given values for the variables in linear expressions and calculate their resulting values🔒
- Evaluate multi-variable expressions: Determine the value of expressions that involve multiple variables🔒
- Evaluate nonlinear expressions: Calculate the value of expressions that involve variables raised to powers other than 1🔒
- Factors of linear expressions: Identify the factors (divisors) of linear expressions, which are the terms that divide the expression evenly🔒
- Identify equivalent linear expressions: Recognize expressions that have the same value for all possible values of the variables🔒
- Identify terms and coefficients: Determine the individual terms and coefficients within an algebraic expression🔒
- Multiply using the distributive property: Multiply a term or expression by a sum or difference by distributing the multiplication across each term within the parentheses🔒
- Properties of addition and multiplication: Understand and apply the properties, such as commutative, associative, and distributive properties, to simplify expressions and perform operations🔒
- Solve equations using properties: Utilize the properties of equality and the properties of operations to solve equations and find the values of variables🔒
- Sort factors of expressions: Arrange the factors of an expression in ascending or descending order based on their values or properties🔒
- Write equivalent expressions using properties: Create expressions that have the same value as a given expression by applying the properties of operations and algebraic properties🔒
- Write variable expressions: Formulate algebraic expressions that involve variables to represent mathematical relationships or situations🔒
- Write variable expressions: word problems: Translate word problems into algebraic expressions involving variables to represent the given situation mathematically🔒

#### Coordinate plane-Online Practice Question

- Coordinate plane review – Familiarize yourself with the coordinate plane, which is formed by two perpendicular number lines called the x-axis and y-axis. Points on the coordinate plane are represented by ordered pairs (x, y), where x is the horizontal coordinate (abscissa) and y is the vertical coordinate (ordinate).
- Distance between two points – Calculate the distance between two points on the coordinate plane using the distance formula, which is derived from the Pythagorean theorem.🔒
- Follow directions on a coordinate plane – Given a starting point and a set of directions (e.g., move 3 units to the right and 4 units up), follow the directions to arrive at the final point on the coordinate plane.🔒
- Quadrants and axes – Understand the four quadrants of the coordinate plane (I, II, III, IV) and their characteristics. The x-axis divides the plane into the top and bottom halves, while the y-axis divides it into the left and right halves.🔒

#### Transformations and congruence-Online Practice Question

- Congruence statements and corresponding parts – Understand congruence statements that indicate two figures are congruent, and identify the corresponding congruent parts of the figures
- Identify reflections, rotations, and translations – Recognize and distinguish between different types of transformations: reflections (flips), rotations (turns), and translations (slides)🔒
- Reflections: find the coordinates – Determine the coordinates of points after a reflection over a given line or axis🔒
- Reflections: graph the image – Graph the image of a figure after a reflection over a given line or axis🔒
- Rotations: find the coordinates – Calculate the coordinates of points after a rotation about a given point and angle🔒
- Rotations: graph the image – Graph the image of a figure after a rotation about a given point and angle🔒
- Side lengths and angle measures of congruent figures – Understand that congruent figures have corresponding side lengths and angle measures that are equal🔒
- Side lengths and angle measures of similar figures – Explore the relationship between side lengths and angle measures of similar figures, which are proportional🔒
- Similar and congruent figures – Differentiate between similar figures, which have proportional side lengths and angle measures, and congruent figures, which have equal side lengths and angle measures🔒
- Similar figures and indirect measurement – Use the concept of similarity to make indirect measurements of objects or distances that are difficult to measure directly🔒
- Symmetry – Identify and describe symmetry in figures, including line symmetry and rotational symmetry🔒
- Translations: find the coordinates – Determine the coordinates of points after a translation using given vectors or directions🔒