Unit 1: Rational Numbers, Properties of Exponents and Square Roots 

• Define rational and irrational numbers

• Convert a decimal expansion which repeats to a rational number

• Estimate irrational numbers

• Compare the size of irrational numbers

• Explain and apply zero property of exponents

• Explain why a number raised to a negative exponent is the reciprocal

• Multiply exponents with the same base

• Divide exponents with the same base

• Raise an exponent to an exponent

• Evaluate square roots

• Convert values to scientific notation

• Perform operations with scientific notation values

• Compare quantities in scientific notation

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Unit 2: Linear Equations 

• Graph proportional relationships

• Compare at least two different proportional relationships

• Interpret the unit rate of a proportional relationship as the slope of a line

• Determine the slope between two distinct points

• Recognize slope as rate of change

• Describe and connect the initial value and rate of change of real life scenarios to slope intercept form

• Graph slope intercept form

• Identify the Y-Intercept

• Determine if a given ordered pair is a solution to a linear equation

• Write linear equations to model real life scenarios

• Use similar triangles to determine the slope of a line

• Understand the components of slope intercept form

• Determine the quantity of solutions to an equation

• Solve linear equations with rational number coefficients

• Solve multistep linear equations that require the distributive property and combining like terms on both sides of an equation with one variable

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Unit 3: Systems of Equations 

• Determine if an equation is a function

• Identify a function using, graphs, tables, or equations

• Compare and analyze functions

• Identify and define linear functions on a graph, table, or by equation

• Draw conclusions and make inferences from real life linear equations

• Identify the solution to a system of two linear equations with two variables

• Solve systems of linear equations with two unknowns algebraically

• Determine and describe when two equations have no solution

• Determine and describe when two equations have infinite solutions

• Represent real world and mathematical problems leading to two linear equations

 

Unit 4: Geometry

• Define and identify rotations, reflections and translations

• Identify a line of reflection

• Use models, and geometric software to confirm properties of rotations, reflections, and translations

• Describe a sequence of rotations, reflections, and translations that exhibit congruence of figures with coordinates

• Define and identify similar triangles

• Identify angles created by a pair of parallel lines cut by a transversal

• Use formulas to calculate the volume of cones, cylinders, and spheres and compare similar sizes of the same shape.

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Unit 5: Statistics and Probability

• Describe scatter plot patterns like clustering, outliers, positive/negative associations and non linear associations

• Construct, and interpret scatter plots with two different variables to investigate patterns of association between two quantities

• Fit a straight line within plotted data

• Informally assess the model fit

• Recognize patterns shown in comparison of two sets of data