Grade 7

Grade 8

CS1.1 Apply the appropriate problem solving strategies to solve multi-step and non-routine problems*

§         Guess and check

§         Eliminate unnecessary information

§         Patterns and sequence

§         Simplify models and diagrams

§         Tables and charts

§         Work backward

§         Write an equation to solve problems

§         Use a formula

CS1.1 Apply the appropriate problem solving strategies to solve multi-step and non-routine problems*

§         Solve patterns using formulas

§         Eliminate unnecessary information

§         Work backwards

§         Tables and charts

§         Simplify

§         Models or diagrams

§         Write and solve an equation

§         Use a variety of formulas

CS1.2 Apply appropriate estimation strategies*

§         Rounding

§         Mental math

CS1.2 Apply appropriate estimation strategies*

§         Rounding

§         Mental math

•     Approximate square roots

CS1.3 Explain mathematical concepts in written and oral form via symbols, mathematical notations and the language of mathematics

CS1.3 Communicate mathematics through oral and written expression via symbols, mathematical notations, and the language of mathematics*

CS1.4 Apply mathematics in other school subjects in real world situations

CS1.4 Make connections among various mathematical topics 

§         Relationships among math concepts (eg. Fractions to decimals to percents)

CS1.5 Select the appropriate technology to solve problems (e.g. paper and pencil, calculator and computer)

CS1.5 Make mathematical connections to the real world using algebraic expressions*

CS1.6 Select and use appropriate technology to solve problems

Grade 7

Grade 8

CS2.1 Fluently compute using whole numbers, decimals, fractions and integers*

CS2.1 Compute using rational numbers*

CS2.2 Arrange a set of whole numbers, decimals, fractions, and integers by using most appropriate equivalent value

CS2.2 See relationships among fractions, decimals, ratios, percents, and proportions*

CS2.3 Apply and utilize order of operations, (e.g. grouping symbols, exponents, multiply and divide, add and subtract)*

CS2.3 Arrange a set of rational and irrational numbers in numerical order from least to greatest*

CS2.4 Read and comprehend scale drawings*

CS2.4 Create various scale drawings from real world objects

CS2.5 Set up and solve proportions

CS2.5 Use proportions and ratios to create scale drawings, predict probability, calculate percents, and solve other real-world problems*

CS2.6 Differentiate between factors and multiples of whole numbers

CS2.6 Differentiate between rational and irrational numbers

CS2.7 Compute the square root of a perfect square

CS2.7 Explain and communicate topics such as

§         Perfect Squares and their roots

§         Perfect Cubes and their roots

§         Factorials

CS2.8 Convert fraction to decimal to percent and vice versa

Grade 7

Grade 8

CS3.1 Use variables, expressions, exponents, formulas, and equations*

CS3.1 Determine when to use variables, expressions and equations

CS3.2 Solve one-step equations and inequalities and graph their solution on a number line

CS3.2 Apply variables, constants, expressions, exponents, scientific notation, formulas, and equations*

CS3.3 Write an algebraic equation from a verbal phrase

CS3.3 Use algebraic methods to solve real-world problems*

CS3.4 Demonstrate number properties

§         Associative

§         Commutative

§         Distributive property of multiplication over addition and subtraction

§         Multiplicative property of zero

§         Identity properties

CS3.4 Use a coordinate plane to represent equations and to solve problems

CS3.5 Demonstrate how the general properties relate to algebra (i.e., the distributive property, associative property etc.)*

CS3.6 Solve multi-step equations

Grade 7

Grade 8

CS4.1 Identify, describe, construct and compare planes and solid geometric figures

CS4.1 Identify, describe, construct, and compare plane and solid geometric figures*

CS4.2 Understand and identify parts of polygons, prisms, different types of angles,  and relationships (e.g. parallel, perpendicular, similar)

CS4.2 Understand and apply geometric properties and relationships*

§         Pythagorean Theorem

§         Angle properties

§        Geometric sequences

CS4.3 Represent geometric figures on a coordinate plane

CS4.3 Represent geometric figures on coordinate grid paper

CS4.4 Explore geometric figures by*

§         Sides

§         Congruency

§         Symmetry

§         Angle Measures

§         Similarity

CS4.4 Use symmetry, congruency, and transformations (reflections, translation, rotation, and dilations) in problem solving

CS4.5 Use geometric terms to describe the real world, i.e. area and  volume

Grade 7

Grade 8

CS5.1 Estimate, make, and use measurements to describe, compare, and/or contrast objects in real-world situations*

CS5.1 Estimate, make, and use measurements to describe, compare, and/or contrast objects in real-world situations*

CS5.2 Use the standard and metric systems to measure lengths, area, volume, weight, time and temperature*

CS5.2 Select and use appropriate units and tools to measure to a level of accuracy required in a particular setting*

CS5.3 Rename equivalent measures within each system*

CS5.3 Apply the concepts of perimeter, circumference, area, volume and capacity, weight and mass, angle measure, time and temperature*

CS5.4 Apply concepts of perimeter, circumference, and angle measurement

CS5.4 Accurately use the English and metric systems of measurements*

CS5.5 Solve indirect measurement problems using proportions*

CS5.5 Transfer fundamental formulas for perimeter, area, and volume to project-oriented tasks

CS5.6 Use formulas to determine surface area and volume of prisms and cylinders*

CS5.6 Use and demonstrate understanding of formulas to find surface area and volume of rectangular and circular prisms

Grade 7

Grade 8

CS6.1 Systematically collect, organize, and describe data*

CS6.1 Systematically collect, organize, and describe data*

CS6.2 Interpret and analyze data using line plots, stem and leaf plots, scatter plots, circle graphs, bar graphs, and line graphs*

CS6.2 Analyze in depth and interpret line plots, box plots, circle graphs, stem and leaf plots, scatter plots, and bar graphs*

CS6.3 Construct various graphs utilizing gathered data

CS6.3 Use the appropriate measure of central tendency to make arguments, and draw conclusions from presented data (mean, median, mode)*

CS6.4 Compute and predict measures of central tendency (range, mean, median, mode)*

CS6.4 Determine the sample space

CS6.5 Simulate probability experiments (e.g. diagrams, applications)

CS6.5 Determine simple probability

CS6.6 Determine simple probability

CS6.6 Predict outcomes based on probability*

CS6.7 Make predictions based on probabilities*

Grade 7

Grade 8

CS7.1 Establish and continue patterns and sequences*

CS7.1 Describe, generalize, extend, analyze, and create a variety of patterns and linear functions*

CS7.2 Use a rule to extend a pattern*

CS7.2 Articulate functions using

§         Graphs

§         Numerical representations

§         Physical models (tables)

§         Algebraic representations

CS7.3 Determine the pattern or sequence*

§         Displayed in a table

§         Shown on a graph

CS7.3 Substitute values for one variable and analyze resulting changes in quantities (e.g. slope, rates of change)

CS7.4 Use a table or chart to solve a problem*

CS7.4 Apply linear functions to solve problems

CS7.5 Extend a pattern and graph linear functions