Scope and Sequence:
Mathematics
Course/Grade 4
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 | |
Unit Titles | Numerical and Proportional Reasoning I Numerical and Proportional Reasoning II |
Geometry Algebraic Reasoning: Functions and Patterns |
CMT Intensive Review Numerical and Proportional Reasoning III Measurement |
Data: Probability and Statistics |
Learning Outcomes
(grade level expectations or standards) |
Build place value models, draw diagrams and show equivalent representations for two-, three- and four- digit numbers in expanded and decimal notation. Build models and describe tenths and hundredths using equivalent ratio, fraction and decimal notation. Build and label a variety of models to represent, compare, and order fractional parts of whole and mixed numbers and to identify ratios and equivalent fractions. Express a division problem as a fraction and describe the relationship between the divisor and the remainder as a fraction. Use place value models, diagrams, number patterns and number lines to identify, order round and compare two-, three-, and four-digit whole numbers. Apply and explain a variety of estimation strategies in problem solving situations to add and subtract money amounts less than $10.00 and two-digit numbers with and without regrouping. Determine and discuss the reasonableness of an answer and explain why a particular estimation strategy will result in an over- or under estimate.
Develop fluency with, multiplication and division fact families for factors 1 through 10. |
Analyze two- dimensional shapes and determine lines of symmetry and congruence. Create and read maps and use the coordinate system to specify locations. Solve practical problems that involve estimation and measurement of length, perimeter, area, volume, capacity, weight and temperature. Explore extending and comparing arithmetic and geometric Sequences. Use equations to describe the rules for number patterns to model word problems. |
Identify the appropriate operation and write a word problem to match a given addition, subtraction, multiplication or division number sentence and write the matching number sentence to solve a word problem. Use arrays and explore using the distributive property and estimate, multiply and divide two- and three- digit numbers by one-digit factors. Write and solve word problems involving decimals, fractions, and mixed numbers, identify reasonable answers, and match equations to the problems. Solve practical problems that involve estimation and measurement of length, perimeter, area, volume, capacity, weight and temperature. Estimate, draw and measure to the nearest inch, half-inch and centimeter. Explore converting from one unit to another when measuring time and solve problems that involve elapsed time using clocks and calendars. |
Construct and interpret broken line graphs, line plots, bar graphs, picture graphs, circle graphs, and stem and leaf plots and evaluate how well each kind of display represents the features of the data. Design and conduct surveys and samplings to collect data that represent a general population. Design and conduct probability experiments and games of chance. |
Significant Task
(names only) |
Up To A Million
Ordering and Managing A school Supply Store Math DRP’s Feeding Frenzy |
Operations Overdrive
Unique Unit of Measure Creating A Geometry Bingo Game Dino Dig |
Guess My Pattern
Equation Diagram Poster Creating A Scale Model of a Bedroom WFUN Television |
“All About Us” Classroom Book
Games of Chance |
Content
Supporting Materials (text, calcs, manips) |
Saxon Math, envision, Math Connects and Think Math Programs & Textbooks, 4^{th}grade curriculum guide, CMT Coach Workbook, base-ten blocks, place value charts, number lines, fraction towers, fraction circles, play money, 100’s chart, mad minute (x) worksheets, and flash cards. |
Saxon Math, envision, Math Connects and Think Math Programs & Textbooks, 4^{th} grade curriculum guide, CMT Coach Workbook, geo-boards, tangrams, pattern blocks, mirrors, rulers, measuring cups, pan balances, scales, three- dimensional models, coordinate grids, simple maps, and Operations chart. | Saxon Math, envision, Math Connects and Think Math Programs & Textbooks, 4^{th} grade curriculum guide, CMT Coach Workbook, Operations chart, fractions towers or circles, rulers, measuring cups, pan balances, scales, thermometers, and clocks-digital & analog.
CMT Review Booklet |
Saxon Math, envision, Math Connects and Think Math Programs & Textbooks, 4^{th}grade curriculum guide, CMT Coach Workbook, spinners, dice, playing cards, games of chance, and Probabality chart. |