New MexicoNew Mexico 7th Grade Math Curriculum
Video lessons and practice for every 7th grade math topic. Aligned to New Mexico Mathematics Standards so your child keeps up with class.
New Mexico 7th Grade Math Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
7.RP.A.1 | Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. |
7.RP.A.2 | Recognize and represent proportional relationships between quantities. |
7.RP.A.3 | Use proportional relationships to solve multistep ratio and percent problems. |
7.NS.A.1 | Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. |
7.NS.A.2 | Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. |
7.NS.A.3 | Solve real-world and mathematical problems involving the four operations with rational numbers. |
7.EE.A.1 | Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. |
7.EE.A.2 | Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. |
7.EE.B.3 | Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. |
7.EE.B.4 | Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. |
7.G.A.1 | Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. |
7.G.A.2 | Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. |
7.G.A.3 | Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. |
7.G.B.4 | Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. |
7.G.B.5 | Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. |
7.G.B.6 | Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. |
7.SP.A.1 | Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. |
7.SP.A.2 | Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. |
7.SP.B.3 | Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. |
7.SP.B.4 | Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. |
7.SP.C.5 | Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. |
7.SP.C.6 | Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. |
7.SP.C.7 | Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. |
7.SP.C.8 | Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. |
7th Grade Math Topics in New Mexico
New Mexico 7th grade math is guided by the New Mexico Mathematics Standards (NM-MSSA). Students in 7th grade work across five major areas: ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability. StudyPug covers every one of these areas with step-by-step video lessons and practice problems.
Ratios and Proportional Relationships
Students learn to compute unit rates with fractional quantities and recognize proportional relationships in tables, graphs, and equations. They apply these skills to solve multi-step ratio and percent problems, including tax, discounts, tips, and percent change.
The Number System — Rational Numbers
7th graders extend their understanding of addition, subtraction, multiplication, and division to all rational numbers, including negative integers and fractions. They solve real-world problems using all four operations with rational numbers and learn to move fluently between fractions, decimals, and percents.
Expressions and Equations
Students apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. They write and solve simple equations and inequalities to model real-world situations and reason about unknown quantities.
Geometry
- Solve problems using scale drawings of geometric figures
- Draw geometric shapes given angle and side conditions
- Identify cross-sections of three-dimensional figures
- Use formulas for area and circumference of a circle
- Write and solve equations for unknown angles using supplementary, complementary, vertical, and adjacent angle relationships
- Find area, surface area, and volume of two- and three-dimensional figures
Statistics and Probability
Students learn to use random samples to draw inferences about populations and compare two data sets using measures of center and variability. They also develop an understanding of probability — expressing likelihoods as numbers between 0 and 1, building probability models, and finding probabilities of compound events using lists, tables, tree diagrams, and simulation.
How StudyPug Supports New Mexico 7th Graders
Every lesson on StudyPug is built around the specific skills students need at each grade level. For New Mexico 7th graders, that means content mapped directly to the New Mexico Mathematics Standards. Students can search for the exact topic they're struggling with, watch a focused video lesson, then practice with problems that mirror what they see in class. Whether preparing for the NM-MSSA assessment or catching up on a missed lesson, StudyPug gives students the tools to build confidence and stay on track.