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4th Grade Math Lessons
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Operations and Algebraic Thinking
Use the four operations with whole numbers to solve problems. (trimester 1)
Interpret a multiplication equations as a comparison e.g., 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5
Multiply or divide to solve word problems involving multiplicative comparisons
(Trimester 1)
e.g., using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparisons from the additive comparison
Solve multistep word problem posed with whole numbers and having wholenumber answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers sing mental computation and estimation strategies including rounding.
(Trimester1)
Gain familiarity with factors and multiples.
Find all the factor pairs for a whole number in the range of 1100. recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number is the range 1100 is prime or composite.
(Trimester 1)
Generate and analyze patterns
Generate a number or she pattern that follows a given rule. Identify apparent features of a pattern that were not explicit in the rule itself.
Number and Operation  Base Ten
Generalize place value understanding for multi digit whole numbers. (trimester 1)
Recognize that in a multi digit whole number, a digit in one place represents ten times (10x) what it represents in the place to the right
Read and write multidigit whole number names and expanded form. Compare two multidigit numbers based on meanings of the digits in each place, using >, =, < symbols to record the results of comparisons
(Trimester 1)
Use place value understanding to round multidigit whole numbers to any place
(Trimester 1)
Use place value understanding and properties of operations to perform multidigit arithmetic. (trimester 1)
Fluently add and subtract multidigit whole numbers using the standard algorithm
(Trimester 1)
Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit number, using strategies based on place value the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or models
(Tri. 1)
Find whole number quotients and remainders with up to fourdgit dividends and onedigit divisors, using strategies based place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculations y using equations, rectangular arrays, and/or area models.
(Trimester 1)
Number and Operations  Fractions
Extend understanding of fraction equivalence and ordering.
Explain why a faction a divided by b is equivalent to a fraction (n x a) divided by (n x b) by using visual fraction models with attention to how the number and size of the parts differ even thought the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or < and justify the conclusions, e.g., by using a visual fraction model.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Understand a fraction with a divided by b with a >1 as a sure of fractions 1 divided by b
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole
Decompose a fraction into a sum of fractions with the same denominator in m ore than one way, recording each composition by an equation. Justify decompositions.
Add or subtract mixed numbers with like denominators
Solve word problems involving multiplication of a fraction by whole numbers, e.g., by using visual fraction models and equations to represent the problem.
Understand decimal notation for fractions, and compare decimal fractions.
Express a fraction with denominator 10 as an equivalent fraction with a denominator 100, and use the technique to add two fractions with respective denominators 10 and 100
3/10 + 4/100
30/100 +4/100 = 34/100
Use decimal notation for fractions with denominators 10 and 100
.62 as 62/100
describe length of 0.62 meters
locate 0.62 on a number line diagram
Compare two decimals to hundredth by reassign g about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, < and justify the conclusions, e.g., by using a visual model.
Measurement and Data
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Know relative sizes of measurement units within one system of units
(trimester 1)
km, m, cm
kg, g
lbs, oz
L, ml
min, sec
Use the 4 operations to solve the word problems involving distances, intervals of time, liquid volumes, masses of objects, and money including problems involving simple fractions or decimals and problems that require expressing measurement given in larger unit in terms of a smaller unit.
Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
(Trimester 1)
Within a single system of measurement, express measurement in a larger unit in terms of a smaller unit
(Trimester 1)
Record measurement equivalents in a two column table (1ft is 12 times as long as 1in.)
(Trimester 1)
Represent measurement quantities using diagrams such as a number diagrams that feature a measurement scale.
Represent and interpret data.
4
Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8)
Solve problems involving addition and subtraction of fractions by using information presented in line plots
Geometric measurement: understand concepts of angle and measure angles. (Trimester 1)
5
Recognize angles as
geometric shapes that are formed whenever two rays share a common endpoint
(Trimester 1)
Understand concepts of angle measurement
(Trimester 1)
6
Measure angles in wholenumber digressing a protractor, Sketch angles a specific measure.
(Trimester 1)
7
Recognize angle measures additive. When an angle is decomposed into nonoverlapping parts, the angle is decomposed into the whole is the sum of the angle measure of the parts.
(Trimester 1)
Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems.
(Trimester 1)
8
Recognize area as additive. Find areas of rectilinear figures by decomposing them into nonoverlapping rectangles and adding the areas of the nonoverlapping parts, applying this technique to solve real world problems
. (Trimester 1)
Geometry
Draw and Identify lines and angles, and classify shapes by properties of their lines and angles
Draw and Identify Points, Lines, Line Segments and Rays
(Trimester 1)
Draw and Identify Angles
(Trimester 1)
Draw and Identify Perpendicular and parallel lines
(Trimester 1)
Classify twodimensional figures based on the presence or absence of parallel or perpendicular liens, or the presence or absence of angles of a specified size Recognize that right triangles as a category, and identify right triangles.
(Trimester 1)
Recognize a line of symmetry for a twodimensional figure as a line across the figure such that a figure can be folded along a line into matching parts. Identify the linesymmetric figures and draw lines of symmetry.
(Trimester 1)
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Operations and Algebraic Thinking
Number and Operation  Base Ten
Number and Operations  Fractions
Measurement and Data
Geometry