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Colorado Math Standards - 7th Grade
MathScore aligns to the Colorado Math Standards for 7th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Colorado Math Standards at other levels.
Number Sense
1.1 Demonstrate meanings of integers, rational numbers, percents, exponents, square roots and pi (π) using physical materials and technology in problem solving situations.1.1a Recognize and use equivalent representations of positive rational numbers. (Fractions to Decimals , Decimals To Fractions , Compare Mixed Values , Positive Number Line , Repeating Decimals , Percentages )
1.1b Use models to represent integers. (Compare Integers )
1.1c Use exponents to indicate how many times a base is used as a factor for positive integers. (Prime Factoring 2 , Exponent Basics )
1.2 Read and write and order integers, rational numbers and common irrational numbers such as √2, √5, and π.
1.2a Read, write, order and compare positive rational numbers and integers. (Compare Mixed Values 2 , Compare Integers )
1.2b Locate positive rational numbers and integers on a number line. (Number Line , Compare Integers )
1.3 Apply number theory concepts (for example, primes, factors, multiples) to represent numbers in various ways.
1.3a Describe numbers by their characteristics (for example, even, odd, prime, composite, divisibility, square). (Odd or Even , Prime Numbers , Divisibility Rules , Perfect Squares )
1.4 Use the relationships among fractions, decimals, and percents, including the concepts of ratio and proportion, in problem-solving situations.
1.4a Use the relationships among fractions, decimals and percents including the concepts of ratio and proportion in problem solving situations. (Unit Cost , Proportions 1 , Proportions 2 , Ratios )
1.6 Use number sense to estimate and justify the reasonableness of solutions to problems involving integers, rational numbers, and common irrational numbers such as √2, √5, and π.
1.6a Estimate, solve and justify the reasonableness of solutions to problems involving positive rational numbers or integers.
Algebraic Methods
2.1 Represent, describe, and analyze patterns and relationships using tables, graphs, verbal rules, and standard algebraic notation.2.1a Represent, describe, and analyze numeric or geometric patterns involving common positive rational numbers or integers using tables, graphs, rules, or symbols. (Function Tables , Function Tables 2 )
2.2 Describe patterns using variables, expressions, equations, and inequalities in problem-solving situations.
2.2a Solve problems by representing and analyzing patterns involving positive rational numbers or integers using tables, graphs, or rules. (Function Tables , Function Tables 2 )
2.3 Analyze functional relationships to explain how a change in one quantity results in a change in another (for example, how the area of a circle changes as the radius increases, or how a person's height changes over time).
2.3a Predict and describe how a change in one quantity results in a change in another quantity in a linear relationship.
2.5 Solve simple linear equations in problem-solving situations using a variety of methods (informal, formal, and graphical) and a variety of tools (physical materials, calculators, and computers).
2.5a Solve simple linear equations in problem solving situations using a variety of methods (informal, formal, or graphic). (Linear Equations , Single Variable Equations )
2.5b Translate written words to algebraic expressions/equations and conversely, algebraic expressions/equations to words. (Phrases to Algebraic Expressions , Algebraic Sentences 2 , Algebraic Sentences )
Data Analysis, Statistics, and Probability
3.1 Read and construct displays of data using appropriate techniques (for example, line graphs, circle graphs, scatter plots, box plots, stem-and-leaf plots) and appropriate technology.3.1a Construct a histogram or stem and leaf from a set of given data.
3.1b Read, interpret and draw conclusions from histograms, circle graphs, stem and leaf plots, and scatter plots. (Stem And Leaf Plots )
3.2 Display and use measures of central tendency, such as mean, median and mode and measures of variability, such as range and quartiles.
3.2a Given a display of data (for example, line plot, stem and leaf plot, list of data), determine the mean, mode, median and range. (Mean, Median, Mode )
3.3 Evaluate arguments that are based on statistical claims.
3.3a Evaluate arguments that are based on measures of central tendency or data displays.
3.4 Formulate hypotheses, drawing conclusions, and making convincing arguments based on data analysis.
3.4a Analyze data and draw conclusions to predict outcomes based on data displays such as histograms and stem and leaf plots. (Stem And Leaf Plots , Line Graphs )
3.6 Make predictions and compare results using both experimental and theoretical probability drawn from real-world problems.
3.6a Report the probability of an even in fraction, decimal and percent form. (Probability )
3.6b Determine the probability of simple independent events (for example, tossing a coin and rolling a die). (Probability )
3.6c Make predictions based on theoretical probability.
3.7 Use counting strategies to determine all the possible outcomes from an experiment (for example, the number of ways students can line up to have their picture taken).
3.7a Determine the number of possible outcomes for a given event using a variety of strategies, such as: tree diagrams, or organized lists.
Geometry
4.2 Describe, analyze and reason informally about the properties (for example, parallelism, perpendicularity, congruence) of two- and three-dimensional figures.4.2a Describe, analyze and reason informally about the attributes of two- and three-dimensional shapes (for example, angles, sides, edges, faces, vertices). (Polygon Names )
4.3 Apply the concept of ratio, proportion and similarity in problem-solving situations
4.3a Identify and compare similar shapes using ratio, proportion, or scale factor. (Congruent And Similar Triangles , Proportions 2 )
4.4 Solve problems using coordinate geometry. (Translations and Reflections )
4.4a Construct a coordinate graph and plot ordered integer pairs in all four quadrants. (Ordered Pairs )
4.5 Solving problems involving perimeter and area in two dimensions, and involving surface area and volume in three dimensions.
4.5a Solve problems involving the circumference of a circle (formulas not provided). (Circle Circumference )
4.5b Solve problems involving the areas of circles, triangles, and parallelograms (formulas not provided). (Triangle Area , Triangle Area 2 , Parallelogram Area , Circle Area )
4.5c Solve problems involving the surface area of rectangular prisms (formulas not provided). (Rectangular Solids , Rectangular Solids 2 )
4.6 Transforming geometric figures using reflections, translations, and rotations to explore congruence.
4.6a Use reflections, translations, and/or rotations, to determine congruence between figures.
Measurement
5.1 Estimate, use and describe measures of distance, perimeter, area, volume, capacity, weight, mass, and angle comparison.5.1a Estimate the area of irregular shapes, angle measurement, or weight of common objects.
5.2 Estimate, make, and use direct and indirect measurements to describe and make comparisons.
5.2a Estimate, make and use direct and indirect measurements to describe and make comparisons.
5.3 Read and interpret various scales including those based on number lines, graphs, and maps.
5.3a Read and interpret scales on number lines, graphs and maps (for example, given a map and a scale, determine the distance between two points on the map). (Line Segments , Bar Graphs , Line Graphs )
5.3b Select the appropriate scale for a given problem (for example, using the appropriate scale when setting up a graph or intervals on a histogram).
5.4 Develop and use formulas and procedures to solve problems involving measurement.
5.4a Develop and use procedures or formulas to solve problems involving area of polygons (for example, trapezoids, regular hexagons, regular octagons). (Trapezoids )
5.5 Describe how a change in an object's linear dimensions affects its perimeter, area, and volume.
5.5a Describe how a change in an object's linear dimensions affects its perimeter and area (for example, how a change in the radius or diameter will affect the circumference and area of a circle). (Area And Volume Proportions )
5.6 Select and use appropriate units and tools to measure to the degree of accuracy required in a particular problem-solving situation.
5.6a Select and use appropriate units and tools to measure to the degree of accuracy required in a particular problem-solving situation (for example, reconstruct a replica of a given figure).
Mathematical Reasoning
6.1 Use models to explain how ratios, proportions, and percents can be used to solve real-world problems.6.1a Use concrete materials or pictures to explain how ratios, proportion, and percents can be used to solve real world problems. (Unit Cost , Purchases At Stores , Restaurant Bills , Commissions )
6.2 Construct, use and explain procedures to compute and estimate with whole numbers, fractions, decimals, and integers.
6.2a Apply order of operations (including exponents with positive rational numbers. (Using Parentheses , Order Of Operations )
6.2b Add, subtract, multiply, and divide positive rational numbers or integers. (Money Multiplication , Money Division , Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division , Integer Addition , Integer Subtraction , Positive Integer Subtraction , Integer Multiplication , Integer Division , Integer Equivalence )
6.2c Explain strategies to add, subtract and multiply positive rational numbers. (Fraction Addition , Fraction Subtraction , Fraction Multiplication , Fraction Division , Decimal Addition , Decimal Subtraction , Decimal Multiplication , Decimal Division )
6.3 Develop, apply and explain a variety of different estimation strategies in problem-solving situations, and explain why an estimate may be acceptable in place of an exact answer.
6.3a Explain why an estimate may be acceptable in place of an exact answer. (Estimated Multiply Divide Word Problems )
6.3b Solve problems using estimation and justify choice of techniques. (Estimated Addition , Estimated Subtraction , Money Addition , Money Subtraction , Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
6.4 Select and use appropriate methods for computing with commonly used fractions and decimals, percents, and integers in problem-solving situations from among mental arithmetic, estimation, paper-and-pencil, calculator, and computer methods, and determining whether the results are reasonable.
6.4a Determine what information is necessary or missing in a problem solving situation.
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