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)

 

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 two-step equations with decimals and fractions (7:50 mins)

Video:  Example: two-step 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 one-step inequality (2:08 mins)

GEOMETRY AND MEASUREMENT

Video:  Area and Perimeter (12:19 mins)

Video:  Nets of 3D-Shapes (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 two-dimensional 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.

 

* Sources:  dese.mo.gov (GLE’s for “I can…” statements), Khan Academy (Video)