# BPS District Mathematics Standards Book

### K-8 Grade Levels

#### Grade 07

The 7^{th} grade math BPS-prioritized standards were selected to level up your child's problem-solving skills with a deeper dive into numbers and real-world applications!

They'll solidify their understanding of fractions, decimals, and integers, confidently tackling multi-step problems that involve all three. Technology will even become a helpful tool as they convert rational numbers to decimals.

Ratios and proportions become a powerful duo! Your child will calculate unit rates, analyze graphs and tables to understand variable relationships, and use proportional reasoning to solve complex problems involving ratios,
percents, and even scale drawings. Algebra enters a new chapter as they explore linear expressions. Using their knowledge of operation properties, they'll add, subtract, factor, and expand these expressions, writing equivalent forms
with variables and numbers. Solving equations becomes a multi-step adventure as they tackle various formats to find the unknown value.

The world around them transforms into geometric shapes! Circles become familiar friends as your child explores the relationship between circumference and diameter. Formulas will help them calculate both the area
and circumference of circles with ease. They'll delve deeper into polygons, calculating their areas, and explore the surface area of 3D shapes like prisms and pyramids using nets to solve real-world problems.

Data analysis skills become more sophisticated as they use random samples to draw inferences about entire populations. Measures of center and variability will become their secret weapons to understand data sets.
They'll even develop probability models to predict the likelihood of future events.
**This exciting 7 ^{th} grade math program will equip your child with the problem-solving and critical thinking skills they need to conquer future math challenges!
**

**Note**: Standards Identifiers auto-link to popup a detailed description and links to Proficiency Scales with Prioritized Standards Identifiers being highlighted a sky-blue.## MAT-07.NO** (NO) **Number and Operations

**MAT-07.NO.NS.01**Describe the absolute value of a number as its distance from zero on a number line.**MAT-07.NO.NS.02**Recognize common fractions and decimal equivalencies up to a denominator of 10. Convert a rational number to a decimal using technology.*

**MAT-07.NO.O.01**Add, subtract, multiply, and divide integers using visual models and properties of operations in multi-step problems, including authentic problems.***MAT-07.NO.O.02**Add, subtract, multiply, and divide non-negative fractions in multi-step problems, including authentic problems.***MAT-07.NO.O.03**Add, subtract, multiply, and divide non- negative decimals to the hundredth place in multi- step problems using strategies or procedures, including authentic problems.*

## MAT-07.AR** (AR) **Algebraic Reasoning

**MAT-07.AR.RP.01**Calculate unit rates associated with ratios of rational numbers, including ratios of lengths, areas, and other quantities measured in like or different units.***MAT-07.AR.RP.02**Analyze the relationship between the dependent and independent variables of a proportional relationship using graphs and tables. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, k) where k is the unit rate.***MAT-07.AR.RP.03**Identify the constant of proportionality in tables, graphs, equations, diagrams, and descriptions of proportional relationships. Represent proportional relationships by an equation of the form y = kx, where k is the constant of proportionality, and describe the meaning of each variable (y, k, x) in the context of the situation.**MAT-07.AR.RP.04**Use proportional relationships to solve multi-step problems involving ratios, percents, and scale drawings of geometric figures, including authentic problems.*

**MAT-07.AR.EE.01**Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions involving variables, integers, and/or nonnegative fractions and decimals with an emphasis on writing equivalent expressions.***MAT-07.AR.EE.02**Write and solve equations of the form px + q = r and p(x + q) = r , including authentic problems.***MAT-07.AR.EE.03**Write and solve one- or two-step inequalities where coefficients and solutions are integers and/or non-negative fractions and decimals, including authentic problems. Graph the solution set of the inequality and interpret it in the context of the problem.

## MAT-07.GM** (GM) **Geometry

**MAT-07.GM.AV.01**Describe the relationship between the circumference and diameter of a circle (pi). Apply given formulas to calculate the area and circumference of a circle, including authentic problems.***MAT-07.GM.AV.02**Calculate areas of polygons by composing and/or decomposing them into rectangles and triangles, including authentic problems. Solve problems involving the surface area of prisms and right pyramids using nets, including authentic problems.***MAT-07.GM.AV.03**Solve problems involving the volume of prisms and composite solids, including authentic problems.

**MAT-07.GM.GF.01**Draw triangles from given conditions using appropriate tools. Defend whether a unique triangle, multiple triangles, or no triangle can be constructed when given three measures of angles or sides.**MAT-07.GM.GF.02**Describe the following angle-pair relationships: supplementary angles, complementary angles, vertical angles, and adjacent angles. Solve for an unknown angle in a figure by applying facts about these angles.

## MAT-07.DPS **(DPS) **Data Probability and Statistics

**MAT-07.DPS.DA.01**Identify the strengths and weaknesses of a population sample including bias in the process of the data collection.**MAT-07.DPS.DA.02**Analyze and draw inferences about a population using single and multiple random samples by using given measures of center and variability for the numerical data set.*

**MAT-07.DPS.P.01**Develop a probability model to find probabilities of theoretical events and contrast probabilities from an experimental model.**MAT-07.DPS.P.02**Develop a probability model to find theoretical probabilities of independent compound events.*