# Seventh Grade Math Curriculum – Standards, Lessons, Activities, Printable Worksheets

A seventh grade math curriculum should be taught using seventh grade lessons including interactive activities, learning games, printable worksheets, assessments, and reinforcement. Manipulatives are very important for seventh grade math lessons. Seventh grade math curriculum should rely on many learning tools – seventh grade lessons with activities, worksheets, reinforcement exercises, and assessments.

And a seventh grade math curriculum should cover all the math strands, not just arithmetic. The major math strands for seventh grade curriculum are number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. While these math strands might surprise you, they are all critical lessons for a seventh grade math curriculum.

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### Seventh Grade Math – What are the Standards and Curriculum?

Seventh grade math lessons, worksheets, and activities teach seventh grade math curriculum covering all the math strands. Seventh grade math students build on what they learned in sixth grade math. In sixth grade math they worked with numbers through the hundred-thousands or more.

During seventh grade math children learn about decimals, percents, exponents, scientific notation, ratios, and square roots. Seventh grade math opens them up to a greater understanding of measurement techniques, geometry and algebraic thinking. It will be a challenging year as they are presented with many new and complex concepts.

Time4Learning teaches a comprehensive seventh grade math curriculum using fun, seventh grade math activities to build a solid math foundation. Help your child excel in math, learn more about Time4Learning’s seventh grade math lessons, curriculum, activities and worksheets.

### Seventh Grade Math Curriculum and Standards – Lessons, Activities, Worksheets – Number Sense and Operations

Seventh grade math students are expected to learn word names and standard numerals for integers, fractions, decimals, ratios, numbers expressed as percents, numbers with exponents, numbers expressed in scientific notation, and numbers expressed using the square root radical. They read and write whole numbers and decimals in expanded form, including exponential notation. Using seventh grade math curriculum, students compare and order integers, fractions, decimals, numbers with exponents, and numbers expressed as percents or in scientific notation.

Also seventh grade math students learn examples of rational and irrational numbers found in real-life situations including the irrational numbers Pi and the square root of 2. They describe the meanings of rational and irrational numbers using physical or graphical displays. Learning about relationships between fractions, decimals, and percents is another vital aspect of seventh grade math curriculum.

Seventh grade math students learn to express a given quantity in a variety of ways including integers, fractions, decimals, numbers expressed as a percent, numbers in scientific notation, and ratios. They express whole numbers in exponential notation and evaluate numerical expressions that contain exponential notation. They express numbers greater than one in scientific notation.

Seventh grade math lessons teach the effects of the four basic arithmetic operations on whole numbers, fractions, mixed numbers, and decimals. Students are taught to apply knowledge of the decimal number system and non-place-value systems. Seventh grade math students apply properties of rational numbers to solve problems, including commutative, associative, distributive, identity, equality, and inverse properties. They learn about the inverse relationship of positive and negative numbers.

Seventh grade math lessons give students real-world two and three-step problems to solve using decimals and fractions. Using percents, students solve real-world problems including discounts, simple interest, taxes, and tips. Seventh grade math students will be expected to apply the order of operations to solve problems using parenthesis, exponents, multiplication, division, addition and subtraction. They learn about proportional relationships using tables, graphs, and “constant ratio” relationships to solve and explain problems.

Seventh grade math students use whole numbers, fractions, or decimals to solve one or two-step real-world problems. They learn appropriate estimation techniques for solving problems using whole numbers or fractions. Estimates will be used to predict results and check the reasonableness of results. Students are asked to determine whether an exact answer is needed or if an estimate will do. Seventh grade math lessons teach students to know if numbers are prime or composite and to determine the prime factorization of composite numbers. Students find the greatest common factor and least common multiple of two or more numbers, apply number theory concepts to determine terms in a sequence, and use divisibility rules to solve real-world or mathematical problems.

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### Seventh Grade Math Curriculum and Standards – Lessons, Activities, Worksheets – Measurement

Seventh grade math curriculum uses concrete and graphical models to show students how to create formulas for finding volumes and surface areas of solids including prisms and cylinders. The students solve and explain problems involving perimeter, area, circumference, and the surface area and volume of prisms and cylinders. Using a protractor, seventh grade math students find the measure of angles. They apply angle relationships including corresponding, complementary, supplementary, interior and exterior.

New concepts are taught during seventh grade math, including the development and use of the distance formula (d=rt). Given a two or three dimensional figure seventh grade math students create a new figure by increasing or decreasing original dimensions. The students are expected to know relationships between perimeters, areas, surface areas, and volumes of an original figure and those of a newly created figure. Using appropriate scales, seventh grade math students produce proportional drawings or models. They learn about proportional relationships used in scale drawings, and produce scale drawings.

Using customary or metric measuring units, seventh grade math students measure length, weight, mass, capacity and volume. Seventh grade math curriculum teaches them to know relationships between metric units of mass and capacity. Students find measures of length, weight, mass, capacity and volume using proportional relationships and properties of similar geometric figures. Units of measurement within a system (metric or customary) are compared. Students perform operations on measurements within each system.

Solving real-world problems, seventh grade math students select an appropriate unit of measurement and do conversions within the metric or customary measurement systems. They are expected to understand that measurements are always approximate and that the degree of accuracy depends on the precision of a measuring device. Seventh grade math lessons encourage students to select appropriate measuring tools such as scales, rulers, thermometers, measuring cups, protractors, or gauges.

More on 7th grade math standards.

Learning the Math Facts. Where do they fit in building a math foundation?

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*Math Curriculum, Lessons, & Standards are defined by each state. Time4Learning bases its seventh grade math curriculum on the national bodies that recommend curriculum and standards and the interpretations of it by a sampling of states notably Florida, Texas, and California.

### Additional Resources Related to Seventh Grade Math

A few math-related topics:

• Does your child have math anxiety? Learn how using the computer can help conquer it, before it becomes an issue.
• Read about math facts and find out where they fit in, while building a solid math foundation.

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