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Math

Focus on Concepts so Math Makes Sense

Facts are meaningless answers without a conceptual understanding. Strategies are rote procedures without math sense.

MMS! Workbooks are focused on developing math sense - from counting and place value to effect of operations (addition increases value) and equality statements (why x + y = z).

Meaningful Practice

Why does division of fractions produce a larger whole number?

There are three 1/4 pieces in a 3/4 circle.

Visual and numeric representations

Moves students beyond manipulatives, and right-brain understandings to abstract, language-based math.

Word problems

Ten different formats for word problems; Develops an understanding of the concept and math language comprehension.

The four standard formats for word problems are taught:

Equalize Problems

Combine Problems

Compare Problems
Change Problems

Dividing Fractions
Math Sense: To divide fractions you invert (flip) the dividing fraction and multiply. This works because multiplication and division are inverse operations.

Strategy: To change from division to multiplication flip the fraction after the dividing sign.

Rounding
Math Sense: rounding means finding a number close to the number you are rounding.

Strategy: Rounding follows a rule - numbers between 0 and 4 are rounded down to 0. Numbers between 5 and 9 are rounded up to the next ten.

How: Find the number on the mishaped number line.
Is the number closer to 0 or 5? Circle the rounds to answer.

Level

Curriculum Focal Points

Completely Covered in MMS!

Connections to the CFP

Completely Covered in MMS!

· Developing understandings of addition and subtraction and strategies for basic addition facts and related subtraction facts

· Developing an understanding of whole number relationships, including grouping in tens and ones

· Geometry: Composing and decomposing geometric shapes

· Develop strategies for addition and subtraction

· Use a variety of models to develop the number sense for addition and subtraction

· Understand the connection between counting and addition and subtraction

· Relate place value to addition and subtraction

· to solve two-digit addition and subtraction problems with strategies that they understand and can explain

· Children strengthen their sense of number by solving problems involving measurements and data.

· Measuring and count the units by using groups of tens and ones supporting understanding of number lines and number relationships.

· identify, describe, and apply number patterns and properties in developing strategies for basic facts

· Base Ten and Place Value

· Quick Recall of Addition and Subtraction Facts

· Developing an understanding of linear measurement

· use place value and properties of operations to create equivalent representations of given numbers

· compose and decompose multidigit numbers

· add and subtract to solve a variety of problems,

· Developing understandings of multiplication and

· division and strategies for basic multiplication facts and related division facts

· Understand fraction and equivalents

· Describing and analyzing properties of two-dimensional shapes

· Algebra: Understanding properties of multiplication and the relationship between multiplication and division

· develop their facility in measuring with fractional parts of linear units

· in measuring with fractional parts of linear units

· perimeter

· Quick Recall of Multiplication and Related Division Facts

· Developing an understanding of decimals and relation to fractions

· Understand and determine area of two dimensional shapes

· identifying, describing, and extending numeric patterns involving all operations

· understanding of properties of two-dimensional shapes as they find the areas of polygons

· measure and classify angles

· make frequency tables, bar graphs, picture graphs, and line plots

· extend their understanding of place value and ways of representing numbers to 100,000 in various contexts

· use estimation in determining the relative sizes of amounts

· Developing an understanding of and fluency with division of whole numbers

· Understand addition and subtraction of fractions and decimals

· Describing three-dimensional shapes and analyze their properties, including volume and surface area

· solving simple equations and inequalities

· create graphs of simple equations

· explore prime and composite numbers

· and discover concepts related to the addition and subtraction of fractions

· they use factors and multiples, including applications of common factors and common multiples

· solve problems that require attention to both approximation and precision of measurement

construct and analyze double-bar and line graphs and use ordered pairs on coordinate grids.

· Developing an understanding of and fluency with multiplication and division of fractions and decimals

· Connecting ratio and rate to multiplication and division

· Writing, interpreting, and using mathematical expressions and equations

· express the result of dividing two whole numbers as a fraction

· division of whole numbers to give mixed number and decimal solutions to division problems with whole numbers

· showing that two expressions are equivalent in a given context

· find areas or volumes from lengths and find lengths from volumes or and lengths

Parents

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Math