Mathematics Curriculum

Grade 7

Major Concepts

  • Compute with integers
  • Ratio, proportion, and percent
  • Compare and order rational numbers
  • Geometric transformations in the coordinate plane
  • Proportional relationships and similar figures
  • Volume
  • Simple linear equations and inequalities
  • Histograms
  • Probability of independent events
  • Analyze graphic representations of data
  • Students will create and solve relevant and authentic problems using appropriate technology and applying these concepts as well as those developed in previous years.

Computational Skills to Maintain

  • Estimate products; multiply with multi-digit factors
  • Estimate quotients; divide with 2- and 3- digit divisors
  • Use order of operations
  • Find the factors, common factors, and greatest common factor of numbers
  • Compute with whole numbers, decimals, and fractions
  • Identify, explain, and apply the commutative, associative, distributive and identity properties

 

Number Sense, Numeration and Numerical Operations
Competency Goal 1 The learner will understand and compute with real numbers.
1.01 Write whole numbers in scientific notation; convert scientific notation to standard form; investigate the uses of scientific notation.

1.02 Compare and order rational numbers.

1.03 Model addition, subtraction, multiplication, and division of integers; record.

1.04 Compute with integers.

1.05 Write and solve proportions.

1.06 Estimate and solve problems using ratio, proportion and percent including discounts, taxes, commissions, and simple interest.

1.07 Use geometric models to develop the meaning of the square of a number and its positive square root; investigate and estimate square root, checking the results with a calculator.

1.08 Analyze and select appropriate operations, models, strategies and methods to solve a variety of multi- step problems using positive rational numbers, integers, and their inverses. Use calculators and computers where appropriate.

Spatial Sense, Measurement and Geometry
Competency Goal 2 The learner will demonstrate an understanding and use of the properties and relationships in geometry, and standard units of metric and customary measurement.
2.01 Construct perpendicular and parallel lines.

2.02 Identify the congruent and supplementary relationships of the angles formed by cutting parallel lines by a transversal.

2.03 Locate, give the coordinates of, and graph plane figures which are the results of translations or reflections in all quadrants of the coordinate plane.

2.04 Use models to investigate the concept of the Pythagorean Theorem.

2.05 Build models of three-dimensional figures given end, side and top views.

2.06 Draw end, side and top views of three-dimensional figures given models; use appropriate technology.

2.07 Use models to find the surface area of rectangular solids and cylinders.

2.08 Use models to find the volume of prisms and cylinders.

2.09 Calculate the volume of rectangular solids.

2.10 Recognize the effect on the area and perimeter when one or two dimensions of a plane figure are changed.

2.11 Use proportions to express relationships between corresponding parts of similar figures.

Patterns, Relationships and Functions
Competency Goal 3 The learner will demonstrate an understanding of patterns, relationships, and fundamental algebraic concepts.
3.01 Evaluate algebraic expressions.

3.02 Model and solve simple equations and inequalities and graph their solutions; use appropriate technology.

3.03 Write or model a simple linear equation or inequality to solve a given problem; use appropriate technology.

3.04 Write a problem given a simple linear equation or inequality.

3.05 Describe, extend, analyze and create a wide variety of patterns to investigate relationships and solve problems; use appropriate technology.

Data, Probability, and Statistics
Competency Goal 4 The learner will demonstrate an understanding and use of graphing, probability, and data analysis.
4.01 Interpret and construct histograms.

4.02 Compare and relate bar graphs and histograms.

4.03 Construct circle graphs using ratios, proportions, and percents.

4.04 Create, compare, contrast, and evaluate both orally and in writing, different graphic representations of the same data.

4.05 Identify appropriate uses of different measures of central tendency.

4.06 Recognize and identify misuses of statistical and numerical data.

4.07 Find all possible outcomes of simple experiments using such methods as lists, tree diagrams, frequency distribution tables, and the Fundamental Counting Principle.

4.08 Compute and apply simple permutations and combinations.

4.09 Find the probability of independent events.

4.10 Identify/explain the relationship between experimental results and theoretical probability.