Ratios and Data Grades 6 to 8

Free online middle-school math course · 12 weeks

Grade: Grades 6 to 8
Ages: Ages 11 to 14
Price: Free
Format: Self-paced online course at learn.lanternlearn.com

About this course

Ratios and Data Grades 6 to 8 is a free 12-week online math course for middle schoolers that uses only things a family already has. Students set up a Numbers Desk at the kitchen table and, week by week, mix ratios, time unit rates, count percents, divide fractions, measure in decimals, work with negative numbers on a number line and the coordinate plane, graph proportional relationships, survey and display data in dot plots, histograms and box plots, summarize it with mean, median and spread, and build a fair spinner game with probability. The course ends with a Data Fair the student runs for the family.

Skills covered

· Use ratio and rate language, equivalent-ratio tables, tape diagrams and double number lines to solve ratio, unit-rate and percent problems
· Divide fractions by fractions, compute with multi-digit decimals, and find greatest common factors and least common multiples
· Place positive and negative numbers on the number line and the coordinate plane, order them, and add, subtract, multiply and divide them
· Recognize proportional relationships in tables, graphs and equations and find the constant of proportionality
· Pose a statistical question, display data in dot plots, histograms and box plots, and summarize it with measures of center and spread
· Describe probability as a number from 0 to 1, build a probability model for a spinner and compare it with observed results
· CCSS: 6.RP.A, 6.NS.A to 6.NS.C, 6.SP.A and 6.SP.B, 7.RP.A, 7.NS.A, 7.SP.A to 7.SP.C, 8.SP.A.1

12-week list

Each week has short lessons Monday to Friday, a hands-on Numbers Lab, and a Data Day with the family on Saturday.

Week	Topic	Focus	CCSS
1	Ratios	Two blue for every three yellow: tables and tape diagrams	6.RP.A.1
2	Rates and Speed	Time a run and find the unit rate	6.RP.A.2
3	Percents	A rate per 100 on the hundred grid	6.RP.A.3
4	Dividing Fractions	How many quarter cups in three cups	6.NS.A.1
5	Decimals, Factors and Multiples	Measure the course to the hundredth	6.NS.B.3
6	Below Zero	The number line through zero and the four quadrants	6.NS.C.6
7	Adding and Subtracting Signed Numbers	Hops on the hallway number line	7.NS.A.1
8	Multiplying and Dividing Signed Numbers	Repeated hops and the sign rules	7.NS.A.2
9	Proportional Relationships	The straight line through the origin	7.RP.A.2
10	Statistical Questions	Survey the street, plot the answers	6.SP.A.1
11	Center and Spread	Mean, median, range and the box plot	6.SP.B.5
12	Probability and the Data Fair	A fair spinner, tested, and the family Data Fair	7.SP.C.5

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