Seventh Grade Mathematics Curriculum Objectives

2011-2012

Number Sense and Place Value (M7:1, M7:2, M7:7) Student demonstrates conceptual understanding of integers, and rational numbers with respect to percents and ratios. Student understands the relationships among rational numbers, percents, exponents, integers, absolute values, and scientific notation.

1. Student understands integers.
2. Student reads, writes, and understands numbers to the billions.
3. Student understands rational numbers with respect to ratios.
4. Student understands percents as a means of comparing whole amounts.
5. Student understands percents greater than 100 and less than 1.
6. Student understands the relationships among rational numbers, exponents, integers, absolute values, and scientific notation.
7. Student estimates and evaluates the reasonableness of solutions.

Operations and Computation (M7:3, M7:4, M7:8) Student demonstrates conceptual understanding of operations with integers. Student solves problems involving integers, proportional reasoning, and rates. Student applies properties of numbers to solve problems and to simplify solutions.

1. Student demonstrates understanding of operations with integers.
2. Student solves problems with integers.
3. Student solves problems involving proportional reasoning including similar figures.
4. Student solves problems involving rates.
5. Student applies the conventions of order of operations.
6. Student analyzes and writes comparison statements using fractions, percents, ratios, scale factors difference.
   
7. Student demonstrates mastery of the 24 basic skills.

Geometry and Measurement (M7:11, M7:13, M7:14, M8:13) Student identifies and distinguishes among three-dimensional shapes. Student solves problems involving the surface area and volume of prisms, cylinders, and pyramids. Student measures and uses units of measures appropriately.

1. Student identifies and distinguishes three-dimensional shapes.
2. Student describes the impact on the volume and surface area of three-dimensional figures when increasing the dimensions by a constant scale factor.
3. Student measures and uses units of measures appropriately.
4. Student sketches three-dimensional solids and the nets of prisms and cylinders.
5. Student solves problems using the Cartesian coordinate system.
6. Student solves problems involving the surface area of prisms and cylinders.
7. Student solves problems involving the volume of prisms and cylinders.
8. Student makes conversions within systems.

Functions and Algebra Concepts (M7:19, M7:20, M7:21, M7:22) Student identifies and extends a variety of linear and nonlinear patterns. Student understands linear relationships as a constant rate of change and generalizes a linear relationship using words and symbols. Student evaluates algebraic expressions, and uses data to make tables and graphs.

1. Student identifies and extends a variety of patterns (linear and nonlinear).
2. Student given a situation, students can make a table and a coordinate graph.
3. Student generalizes a linear relationship using words and symbols.
4. Student understands linear relationships as a constant rate of change.
5. Student evaluates algebraic expressions or equations using substitutions.

Data, Statistics, and Probability Concepts (M7:26, M7:27, M7:29) Student solves problems involving combinations, determines the experimental or theoretical probability of an even, and uses probability to determine the fairness of a game. Student expresses probability as a ratio in the form of fractions, decimals, and percents.

1. Student determines the experimental or theoretical probability of a simple event.
2. Student uses counting techniques to solve problems involving combinations.
3. Student uses probability to determine the fairness of a game.
4. Student determines the theoretical and experimental probability of compound events.
5. Student expresses probability as a ratio in the form of fractions, decimals, and percents.

Mathematical Problem Solving (M7:30) Student solves problems of increasing complexity. Student accurately uses mathematical language and presentations to communicate solutions and to foster understanding of mathematics.
“Problem solving is not a distinct topic, but a process that should permeate the entire [math] program.” NCTM

1. Student accurately solves grade appropriate problems.
2. Student effectively communicates problem solving steps, strategies and solutions.