7th Grade Mathematics Missouri Learning Standards*
According to the Missouri Learning Standards, 7th grade Mathematics instructional time should focus on five critical areas.
RATIOS AND PROPORTIONAL RELATIONSHIPS
Video: Solving Unit Rate Problems (2:30 mins)
Video: Solving Unit Price Problems (2:00 mins)
Video: Introduction to ratios (14:12 mins)
Video: Introduction to Proportional Relationship (3:49 mins)
Video: Ratio problem with basic algebra (5:11 mins)
Video: More advanced ratio problem–with Algebra (9:57 mins)
Video: How to Visually Identify Proportional Relationships Using Graphs (7:18 mins)
Video: Equations of proportional relationships (5:00 mins)
Video: Solving a Proportion with an Unknown Variable (7:19 mins)
Video: Setting up Proportions to Solve Word Problems (5:50 mins)
Video: Proportion Word Problem (5:47 mins)
Video: Proportion Word Problem (4:57 mins)
Video: Percent Word Problems (6:15 mins)
Video: Percent Word Problems (2:48 mins)
Video: Percent Word Problems (3:28 mins)
Video: Percent Word Problems (4:36 mins)
Video: Percent Word Problems (5:36 mins)

I can compute unit rates, including those that involve complex fractions, with like or different units.

I can recognize and represent proportional relationships between quantities.

I can solve problems involving ratios, rates, percentages and proportional relationships.
NUMBER SENSE AND OPERATIONS
Video: Introduction to Rational and Irrational Numbers (5:54 mins)
Video: Identifying Rational Numbers (5:46 mins)
Video: Addition of Rational Numbers (7:39 mins)
Video: Subtraction of Rational Numbers (10:22 mins)
Video: Multiplication of Rational Number (8:55 mins)
Video: Division of Rational Number (8:20 mins)
Video: Rational Number Word Problems with Fractions (3:20 mins)
Video: Rational Number Word Problems with Ratios (2:32 mins)

I can apply and extend previous understandings of numbers to add and subtract rational numbers.

I can apply and extend previous understandings of numbers to multiply and divide rational numbers.

I can solve problems involving the four arithmetic operations with rational numbers.
EXPRESSIONS, EQUATIONS AND INEQUALITIES
Video: Combining like terms introduction (4:32 mins)
Video: How to simplify a big expression by combining like terms (3:42 mins)
Video: How to simplify an expression by combining like terms and the distributive property (4:06 mins)
Video: Expressions with rational numbers (5:58 mins)
Video: Algebra: Solving Inequalities (6:25 mins)
Video: Examples of simplifying expressions involving rational numbers (4:15 mins)
Video: How to solve twostep equations with decimals and fractions (7:50 mins)
Video: Example: twostep equations (13.49 mins)
Video: Inequalities using addition and subtraction (7:47 mins)
Video: Multiplying and dividing with inequalities (10:27 mins)
Video: Constructing and solving a onestep inequality (2:08 mins)

I can apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients.

I can understand how to use equivalent expressions to clarify quantities in a problem.

I can solve multistep problems posed with rational numbers.

I can write and/or solve linear equations and inequalities in one variable.
GEOMETRY AND MEASUREMENT
Video: Area and Perimeter (12:19 mins)
Video: Nets of 3DShapes (5:54 mins)
Video: Circles: radius, diameter, circumference and Pi (11:04 mins)
Video: Area of a circle (6:44 mins)
Video: Angle basics (6:48 mins)
Video: Angles (part 2) (9:04 mins)
Video: Angles (part 3) (9:47 mins)
Video: The angle game (9:01 mins)
Video: Complementary and supplementary angles (8:30 mins)
Video: Volume and Surface Area (1:29 mins)

I can solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

I can use a variety of tools to construct geometric shapes.

I can describe twodimensional cross sections of pyramids, prisms, cones and cylinders.

I can understand the concepts of circles.

I can use angle properties to write and solve equations for an unknown angle.

I can understand the relationship between area, surface area and volume.
DATA ANALYSIS, STATISTICS AND PROBABILITY
Video: Inferring population mean from sample mean (10:02 mins)
Video: Sample variance (10:37 mins)
Video: Mean, Median, Mode, and Range (11:37 mins)
Video: Probability explained (8:17 mins)
Video: Probability (part 1) (10:29 mins)
Video: Probability (part 2) (9:53 mins)
Video: Probability (part 3) (10:05 mins)
Video: Probability (part 4) (9:59 mins)
Video: Probability (part 5) (10:07 mins)
Video: Probability (part 6) (9:15 mins)
Video: Intuitive sense of probabilities (8:50 mins)
Video: Constructing probability model from observations (7:24 mins)
Video: Comparing theoretical to experimental probabilities (7:01 mins)
Video: Compound sample spaces (9:09 mins)
Video: Fundamental Counting Principle Probability (5:21 mins)
Video: Compound probability of independent events (5:59 mins)
Video: Probability from compound sample space (5:02 mins)
Video: Making predictions with probability (5:04 mins)
Video: Probability – Theoretical Probability versus Experimental Probability (3:59 mins)

I can understand that statistics can be used to gain information about a population by examining a sample of the population.

I can use data from multiple samples to draw inferences about a population and investigate variability in estimates of the characteristic of interest.

I can analyze different data distributions using statistical measures.

I can compare the numerical measures of center, measures of frequency and measures of variability from two random samples to draw inferences about the population.

I can investigate the probability of chance events.

I can investigate the relationship between theoretical and experimental probabilities for simple events.

I can explain possible discrepancies between a developed probability model and observed frequencies.

I can find probabilities of compound events using organized lists, tables, tree diagrams and simulations.