ESSENTIAL STANDARD
ESSENTIAL / ESSENTIAL
QUESTION / DEPTH for MASTERY / MathThematics
Textbook / OTHER RESOURCES
Module / Section(s) / GLC WEBSITE – Sequenced
Lesson Plans / COMPASS / Mountain
Math
1 - Solves problems, reasons, and estimates throughout mathematics.
- Selects and uses problem-solving strategies such as reading the problem, drawing a picture or diagram, using trial and error, making a table or chart, looking for patterns, making a simple problem then generalizing, working backwards, etc.
- Selects and uses appropriate tools (such as mental computation, calculators, manipulative materials, paper and pencil, computer) in solving problems.
- Uses appropriate estimation strategies (such as breaking numbers apart, compatible numbers, guess and check, clustering, rounding, compensation) to check the reasonableness of results.
- Solves non-routine problems for which the answer is not obvious.
- Relates concepts and skills to practical applications / What tools, methods, and procedures are needed to solve problems? /
Estimation
/ N/AThroughout all lessons / N/A / Day 1 of 180 day sequence / Curriculum Guide, M.8.1, pages 131-133 / Seventh Grade –None
Eighth Grade –
all (appropriate tools)
2 – Describes orally and in writing, using the appropriate mathematical vocabulary, mathematical concepts and procedures, such as the reasoning involved in solving problems or computing. / How can problem-solving strategies be communicated? / All / Throughout all lessons / -- / N/A / MAS.01.01-12.01-02 / Seventh Grade – None
Eighth Grade –
All
8th Grade Math, 2nd 30 Days 4
ESSENTIAL STANDARDIMPORTANT / ESSENTIAL
QUESTION / DEPTH for MASTERY / MathThematics
Textbook / OTHER RESOURCES
Module / Section(s) / GLC WEBSITE – Sequenced
Lesson Plans / COMPASS / Mountain
Math
5 - Uses signs or symbols to represent words, phrases, numbers, or quantities. / How are signs, symbols, and words used in math? /
All
/ N/A / N/A / Day 45 / MA7.03.01MA7.03.04
MA8.03.01
MA8.03.05-06 / Seventh Grade – None
Eighth Grade –
1, 6, 11
6 - Translates English phrases and sentences into mathematical/ algebraic expressions, equations, and inequalities. / How are signs, symbols, and words used in math? / Expressions and Equations / 1
/ 5.1 / Day 46 / MA7.03.02-04
MA7.06.01
MA7.06.03-05
MA8.01.01
MA8.01.03
MA8.03.05
MA8.08.02
MA8.08.04 / Seventh Grade – None
Eighth Grade –
11
[12] - Sets up a proportion and solves for the missing term in a proportion. / How can proportions be used to solve problems? / All / 2 / 1-2 / “Solving
Proportions” / MA7.06.01
MA7.06.03-05
MA8.06.01
MA8.06.03-05 / Seventh Grade –
15
Eighth Grade –
13
[16] - Applies formulas (e.g. area, perimeter, circumference, volume, and surface area), including investigation and using the Pythagorean Theorem. / How are formulas used to solve geometry problems? / Applies formulas (volume and surface areas) / 3 / 1 / N/A / MA7.07.05-08
MA7.08.04
MA8.07.04-09
MA8.09.03 / Seventh Grade – None
Eighth Grade –
1, 18
[17] – Adds, subtracts, multiplies, and divides integers and other rational numbers. / How are rational numbers computed? / All / 2
Toolbox
Teacher’s Resource Book / 2
Page 598
Page 2-86 / N/A / Curriculum Guide, M.8.18, pages 145-146 / Seventh Grade –
3, 4, 13, 21
Eighth Grade –
7, 14
26 – Determines how changing a linear measure on a geometric figure affects area and volume. / If you change a linear measure on a geometric figure, how would the area and volume be affected? /
All
/ 3 / 1 / N/A / MA7.07.06MA7.07.08
MA8.07.05-09 / Seventh Grade – None
Eighth Grade –
None
8th Grade Math, 2nd 30 Days 4
ESSENTIAL STANDARDESSENTIAL / ESSENTIAL
QUESTION / DEPTH for MASTERY / MathThematics
Textbook / OTHER RESOURCES
Module / Section(s) / GLC WEBSITE – Sequenced Lesson Plans / COMPASS / Mountain
Math
29 – Converts from one metric unit to another metric unit and from one customary unit to another customary unit (length, capacity, weight/mass, time, and money). / How do you convert one unit of measurement to another? / Customary unit / -- / -- / Day 150 –
“Customary System Investigation” / MA7.09.01-04
MA8.08.01-04 / Seventh Grade –
10
Eighth Grade –
10
[30] – Uses fractions, decimals, and percents interchangeably, and recognizes equivalent representations. / What is the relationship between a fraction, decimal, and percent? /
All
/ -- / -- / “Decimal & Percent Investigation” / MA7.06.02MA8.06.02 / Seventh Grade –
14
Eighth Grade –
9
[31] – Expresses standard numerals in scientific notation and expresses scientific notation as a standard numeral. / How can standard numerals be represented by scientific notation? / All / 3 / 5.1 / N/A / MA7.12.04
MA8.02.04-05 / Seventh Grade –
1
Eighth Grade –
None
32 – Evaluates powers using exponents and bases correctly, and finds square roots. / How do you evaluate powers and find square roots? / Square Roots / 3 / 1 / N/A / MA7.08.03
MA8.01.06
MA8.02.04-05
MA8.09.01 / Seventh Grade –
7
Eighth Grade –
6, 18
[34] – Recognizes, describes, and applies all properties of the real numbers system (associative, commutative, inverses, identities, properties of zero and one, and the distributive property of multiplication over addition) in situations such as evaluating algebraic expressions and solving equations. / How are properties of the real number system used? / Distributive property / -- / -- / Day 50 –
“Simplifying
Using Distributive
Property” / MA7.01.03
MA8.03.05-06
MA8.05.03 / Seventh Grade –
8
Eighth Grade –
2, 15
[39] – Identifies possible outcomes of simple and compound experiments, and predicts or describes the probability of a given event, expressed as a rational number from 0 through 1. / How can outcomes of events be identified, predicted, and described? / Simple experiments / 2 / 3 / “Probability Introduction” / MA7.11.01
MA7.10.01.Q
MA7.11.02
MA8.11.01 / Seventh Grade – None
Eighth Grade - None
8th Grade Math, 2nd 30 Days 4
ESSENTIAL STANDARDESSENTIAL / ESSENTIAL
QUESTION / DEPTH for MASTERY / MathThematics
Textbook / OTHER RESOURCES
Module / Section(s) / GLC WEBSITE – Sequenced Lesson Plans / COMPASS / Mountain
Math
40 - Selects and uses appropriate problem-solving strategies to solve single- and multi-step problems. / What tools, methods, and procedures are needed to solve problems? / Solving Single and Multi-Step Problems / Teacher’s Resource Book / Page 1-80 / N/A / Curriculum Guide, M.8.43, pages 157-160 / Seventh Grade – None
Eighth Grade - None
41 - Solves practical problems using ratio and proportion, including constant rate. / How are ratio, proportion, and constant rate used in problem solving? /
All
/ Teacher’s Resource Book / Page 1-70 / N/A / MA7.06.01MA7.06.03-05
MA8.06.01
MA8.06.03-06 / Seventh Grade –
None
Eighth Grade –
None
42 - Solves practical problems using percents (e.g., sales tax. Sale price and commission, and discounts). / How are percents used in everyday life? / Percents / 2 / 2.1
2.2 / N/A / MA7.06.04-05
MA8.06.03-06 / Seventh Grade – None
Eighth Grade - None
[43] - Collects and organizes data, determines appropriate method and scale to display data, and constructs frequency distributions; bar, line, and circle graphs; tables and charts; line plots, stem-and-leaf plots, box-and-whisker plots, and scatter plots. / How do you collect and organize data? / Bar & Line Graphs
Tables and Charts
Line Plots / 2 / 6 / “Frequency Tables for Bar Graphs and Histograms”
(Web Resources) / MA6.02.01.01-02 MA6.02.02.01-03
MA7.10.02-06
MA8.10.01-05 / Seventh Grade – None
Eighth Grade - None
[45] - Reads, interprets, compares, and analyzes data in frequency distributions, diagrams, charts, tables, and graphs (bar, line, circle, stacked bar, double line, and multiple bar), and makes predictions or conclusions based on this data. / What can you learn from diagrams, charts, tables, and graphs? / All / Teacher’s Resource Book / Pages 8-66 & 8-68 / N/A / MA6.02.01.01-02 MA6.02.02.01
MA7.10.01-06
MA8.10.01-05 / Seventh Grade – None
Eighth Grade - None
IMPORTANT
8 - Uses order of operations to simplify numerical expressions. / Why is the order of operation important? / All / 3 / 2 / N/A / MA7.03.01-04MA8.03.01
MA8.03.06 / Seventh Grade –
5, 9
Eighth Grade –
1, 4, 5
8th Grade Math, 2nd 30 Days 4
ESSENTIAL STANDARDIMPORTANT / ESSENTIAL
QUESTION / DEPTH for MASTERY / MathThematics
Textbook / OTHER RESOURCES
Module / Section(s) / GLC WEBSITE – Sequenced Lesson Plans / COMPASS / Mountain
Math
11 - Finds the absolute value of any real number. / How do you find the absolute value of any real number? / All / 2 / 4 / N/A / MA8.01.02
MA8.05.04 / Seventh Grade –
None
Eighth Grade –
None
COMPACT
20 - Identifies physical and symbolic representations using appropriate labeling of geometric figures, such as points, lines, line segments, rays, polygons, vertices, angles, and diagonals. / How are symbols used to represent geometric figures? / All / 6 / 1, 4 / N/A / MA6.06.01.02-03 MA6.06.02.01
MA7.07.01-08
MA8.07.01-09 / Seventh Grade –
17
Eighth Grade –
16
8th Grade Math, 2nd 30 Days 4