Demonstrate an understanding of oral and written patterns and their equivalent linear relations.
Create a table of values from a linear relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
Linear Function
Two-Variable Equations
Graph Linear Functions
Graph a Line from an Equation
Graph a Line from a Function Table
Interpret Double Bar Graphs
Interpret Double Line Graphs
Interpret Bar Graphs
Interpret Line Graphs
Complete a Function Table
Write a Rule for a Function Table
Demonstrate an understanding of preservation of equality by: • modeling preservation of equality, concretely, pictorially and symbolically • applying preservation of equality to solve equations.
Simplify Variable Expressions
Simplify Variable Expressions Using Properties
Model and Solve Equations Using Algebra Tiles
Solving Proportions
Solve One-Step Linear Equations
Solve Two-Step Linear Equations
Algebra: Linear Function with Intercepts
Evaluate Variable Expressions with Whole Numbers
Solve Equations Involving Like Terms
Explain the difference between an expression and an equation.
Evaluate an expression given the value of the variable(s).
Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially and symbolically, where a and b are integers.
Model and solve problems that can be represented by linear equations of the form: • ax + b = c • ax = b • x/a = b, a is not equal to 0 • concretely, pictorially and symbolically, where a, b and c are whole numbers.
Demonstrate an understanding of circles by: • describing the relationships among radius, diameter and circumference of circles • relating circumference to pi • determining the sum of the central angles • constructing circles with a given radius or diameter • solving problems involving the radii, diameters and circumferences of circles.
Develop and apply a formula for determining the area of: • triangles • parallelograms • circles.
Perform geometric constructions, including: • perpendicular line segments • parallel line segments • perpendicular bisectors • angle bisectors.
Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).
Demonstrate an understanding of central tendency and range by: • determining the measures of central tendency (mean, median, mode) and range • determining the most appropriate measures of central tendency to report findings.
Calculate Mean
Calculate Range
Calculate Mode
Calculate Median
Calculate Mean, Median, Mode and Range
Interpret Charts to Find Mean, Median, Mode, and Range
Interpret Charts to Find Median
Interpret Charts to Find Mode
Interpret Charts to Find Mean
Interpret Charts to Find Range
Mean, Median, Mode, and Range: Find the Missing Number
Mode: Find the Missing Number
Median: Find the Missing Number
Mean: Find the Missing Number
Range: Find the Missing Number
Changes in Median
Changes in Mean, Median, Mode, and Range
Changes in Mode
Changes in Range
Changes in Mean
Determine the effect on the mean, median and mode when an outlier is included in a data set.
Construct, label and interpret circle graphs to solve problems.
Express probabilities as ratios, fractions and percents.
Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or another graphic organizer) and experimental probability of two independent events.
Determine and apply the divisibility rules for 2, 3, 4, 5, 6, 8, 9 or 10, and explain why a number cannot be divided by 0.
Demonstrate an understanding of the addition, subtraction, multiplication and division of decimals (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected) to solve problems.
Add and Subtract Decimal Numbers
Mixed Equations with Decimals
Add and Subtract Decimals
Add and Subtract Decimals Up to 10
Add and Subtract Decimal Up to 100
Multiply Decimals with Numbers Up to 100
Multiply Decimals
Multiply Decimals and Whole Numbers
Divide Decimals
Divide Decimals by Whole Numbers
Mixed Decimal Equations
Multi Step Inequalities with Decimals
Maps with Decimal Distances
Solve problems involving percents from 1% to 100%.
What Percentage Is Illustrated?
Convert Between Percents, Fractions and Decimals
Compare Percents to Fractions and Decimals
Estimate Percents of Numbers
Percents of Numbers and Money Amounts
Percents of Numbers
Percent Equations
Percent Equations
Percents with Multi-Step Problems
Demonstrate an understanding of the relationship between positive repeating decimals and positive fractions, and positive terminating decimals and positive fractions.
Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially and symbolically (limited to positive sums and differences).
Add and Subtract Fractions
Add, Subtract Fractions with Like Denominators
Subtract Fractions
Add Fractions
Add Fractions with Unlike Denominators
Subtract Fractions with Unlike Denominators
Add and Subtract Fractions with Unlike Denominators
Add and Subtract Mixed Numbers
Add and Subtract Mixed Numbers
Add, Subtract Inequalities with Fractions and Mixed Numbers
Estimate Sums and Differences of Mixed Numbers
Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically.
Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using: • benchmarks • place value • equivalent fractions and/or decimals.
Put Decimal Numbers in Order with Numbers Up to 5
Identify Place Values in Decimal Numbers
Choose the Equivalent Fraction Up to Twentieths
Choose the Equivalent Fraction
Reduce to Lowest Terms
Reducing Fractions to Lowest Terms
Compare Fractions
Compare Fractions
Convert Between Improper Fractions and Mixed Numbers
Compare Mixed Numbers and Improper Fractions