compare and rank
1.1 Compare two or more sets of objects (up to ten objects in each group) and
identify which set is equal to, more than, or less than the other.
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1.2 Count, recognize, represent, name, and order a number of objects (up to 30).
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1.2 Know that the larger numbers describe sets with more objects in them than the
smaller numbers have.
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2.0 Students understand and describe simple additions and subtractions:
2.1 Use concrete objects to determine the answers to addition and subtraction
problems (for two numbers that are each less than 10).
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estimate and round
3.0 Students use estimation strategies in computation and problem solving that
involve numbers that use the ones and tens places:
3.1 Recognize when an estimate is reasonable.
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Number Sense
count
1.1 Count, read, and write whole numbers to 100.
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compare and rank
1.2 Compare and order whole numbers to 100 by using the symbols for less than, equal
to, or greater than (<, =, >).
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inverse operations
1.3 Represent equivalent forms of the same number through the use of physical mod
els, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4,
5 + 3, 2 + 2 + 2 + 2, 10 - 2, 11 - 3).
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estimate and round
1.4 Count and group object in ones and tens (e.g., three groups of 10 and 4 equals 34,
or 30 + 4).
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money
1.5 Identify and know the value of coins and show different combinations of coins that
equal the same value.
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add and subtract
2.0 Students demonstrate the meaning of addition and subtraction and use these
operations to solve problems:
2.1 Know the addition facts (sums to 20) and the corresponding subtraction facts and
commit them to memory.
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inverse operations
2.2 Use the inverse relationship between addition and subtraction to solve problems.
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estimate and round
2.3 Identify one more than, one less than, 10 more than, and 10 less than a given
number.
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multiply
2.4 Count by 2s, 5s, and 10s to 100.
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Blue Print 35 (52%)
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1.1 3 Count, read, and write whole numbers to 1,000 and identify the place value for each digit.
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1.2 Use words, models, and expanded forms (e.g., 45 = 4 tens + 5) to represent numbers (to 1,000).
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compare and rank
Key Standard
1.34 Order and compare whole numbers to 1,000 by using the symbols <, =, >.
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inverse operations
2.0
Students estimate, calculate, and solve problems involving addition and subtraction of two- and three- digit numbers:
2.12.5
Understand and use the inverse relationship between addition and subtraction (e.g., an opposite number sentence for 8 + 6 = 14 is 14 − 6 = 8) to solve problems and check solutions.
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add and subtract
Key Standard
2.24 Find the sum or difference of two whole numbers up to three digits long.
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2.3 Use mental arithmetic to find the sum or difference of two two-digit numbers.
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multiply
3.0 Students model
and solve simple problems involving multiplication
and
division:
3.1 2 Use repeated addition, arrays, and counting by multiples to do multiplication.
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Decimals, Fractions and Percents
4.0 Students understand
that fractions and
decimals may refer to
parts of a set and
parts of a whole:
4.13 Recognize, name, and compare unit fractions from 1/12 to ½.
4.2 Recognize fractions of a whole and parts of a group (e.g., one-fourth of a pie, two-
thirds of 15 balls).
Know that when all fractional parts are included, such as four-fourths, the result is
equal to the whole and to one.
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money
4.3 Students model
and solve problems by representing,
adding, and subtracting amounts of money:
5.1 Solve problems using combinations of coins and bills.
5.2 5.2
Know and use the decimal notation and the dollar and cent symbols for money
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Blue Print 35 (52%)
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1.1 3 Count, read, and write whole numbers to 1,000 and identify the place value for each digit.
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1.2 Use words, models, and expanded forms (e.g., 45 = 4 tens + 5) to represent numbers (to 1,000).
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compare and rank
Key Standard
1.34 Order and compare whole numbers to 1,000 by using the symbols <, =, >.
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inverse operations
2.0
Students estimate, calculate, and solve problems involving addition and subtraction of two- and three- digit numbers:
2.12.5
Understand and use the inverse relationship between addition and subtraction (e.g., an opposite number sentence for 8 + 6 = 14 is 14 − 6 = 8) to solve problems and check solutions.
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add and subtract
Key Standard
2.24 Find the sum or difference of two whole numbers up to three digits long.
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2.3 Use mental arithmetic to find the sum or difference of two two-digit numbers.
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multiply
3.0 Students model
and solve simple problems involving multiplication
and
division:
3.1 2 Use repeated addition, arrays, and counting by multiples to do multiplication.
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Decimals, Fractions and Percents
4.0 Students understand
that fractions and
decimals may refer to
parts of a set and
parts of a whole:
4.13 Recognize, name, and compare unit fractions from 1/12 to ½.
4.2 Recognize fractions of a whole and parts of a group (e.g., one-fourth of a pie, two-
thirds of 15 balls).
Know that when all fractional parts are included, such as four-fourths, the result is
equal to the whole and to one.
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money
4.3 Students model
and solve problems by representing,
adding, and subtracting amounts of money:
5.1 Solve problems using combinations of coins and bills.
5.2 5.2
Know and use the decimal notation and the dollar and cent symbols for money
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Blue Print 32 (49%)
count
Key Standard
1.1.5 Count, read, and write whole numbers to 10,000.
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2.0 Students calculate
and solve problems
involving addition,
subtraction,
multiplication, and division:
2.1 Find the sum or difference of two whole numbers between 0 and 10,000.
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multiply
2.2n/a Memorize to automaticity
the multiplication table for numbers between 1 and 10
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inverse operations
2,33 Use the inverse relationship of multiplication and division to compute and check
results.
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Division
2.5 1 Solve division problems in which a multidigit number is evenly divided by a
one-digit number (135 ÷ 5 = __).
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multiply
2.61 Understand the special properties of 0 and 1 in multiplication and division.
2.7 Determine the unit cost when given the total cost and number of units.
2.8 Solve problems that require two or more of the skills mentioned above.
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Decimals, Fractions and Percents
3.0 Students understand
the relationship between
whole numbers, simple
fractions,
and decimals:
3.11 Compare fractions represented by drawings or concrete materials to show equivalency
and to add and subtract simple fractions in context (e.g., ½ of a pizza is the same amount as 2/4 of another pizza that is the same size; show that 3/8 is larger than ¼).
3.2 Add and subtract simple fractions (e.g., determine that 1/8 + 3/8 is the same as ½
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money
3.3 Solve problems involving addition, subtraction, multi-
plication, and division of money amounts in decimal notation and multiply and divide money amounts in decimal notation by using whole-number multipliers and divisors.
3.1 Know and understand that fractions and decimals are two different representations of the same concept (e.g., 50 cents is ½ of a dollar, 75 cents is ¾ of a dollar).
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Blue Print 31 (48%)
count
1.13 Read and write whole numbers in the millions.
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compare and rank
1.22 Order and compare whole numbers and decimals to two decimal places.
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estimate and round
1.32 Order and compare whole numbers and decimals to two decimal places.
1.4 n/aDecide when a rounded solution is called for and explain why such a solution
may be appropriate.
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compare and rank
1.71 Write the fraction represented by a drawing of parts of afigure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line.
1.8 3Use concepts of negative numbers (e.g., on a number line, in counting, in temperature,
in “owing”).
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Decimals, Fractions and Percents
1.9 3IIdentify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places.
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add and subtract
2.0 Students extend their use and understanding of whole numbers to the addition and subtraction of simple decimals:
2.11 Estimate and compute the sum or difference of whole numbers and positive decimals to two places.
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estimate and round
2.21/2 Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer.
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add and subtract
3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations:
3.13 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.
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inverse operations
3.23 Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use relationships between them to simplify computations and to check results.
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multiply
3.3 Solve problems involving multiplication of multidigit numbers by two-digit numbers.
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3.4 Solve problems involving division of multidigit numbers by one-digit numbers.
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4.0 Students know how to factor small whole numbers:
4.1 Understand that many whole numbers break down in different ways (e.g., 12 = 4 × 3 = 2 × 6 = 2 × 2 × 3).
4.22 Know that numbers such as 2, 3, 5, 7, and 11 do not have any factors except 1 and themselves and that such numbers are called prime numbers.
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Blue Print 29 (45%)
estimate and round
1.11 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.
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compare and rank
1.25 Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number.
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multiply
1.31 Understand and compute positive integer powers of nonnegative integers; compute examples as repeated multiplication
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1.43 Determine the prime factors of all numbers through 50 and write the numbers as the product of their prime factors by using exponents to show multiples of a factor (e.g., 24 = 2 × 2 × 2 × 3 = 23 × 3).
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compare and rank
1.5 2 Identify and represent on a number line decimals, fractions, mixed numbers, and positive and negative integers.
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estimate and round
2.0
Students perform
calculations and
solve problems involving
addition, subtraction,
and simple multiplication
and division of fractions
and decimals.
Key Standard
2.1 7 Estimate, round, and manipulate very large (e.g., millions) and very small (e.g., thousandths) numbers.
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2.23 Demonstrate proficiency with division, including division with positive decimals and long division with multidigit divisors.
Key Standard
2.35 Solve simple problems, including ones arising in concrete situations, involving the addition and subtraction of fractions and mixed numbers (like and unlike denominators of 20 or less), and express answers in the simplest form.
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2.41 Understand the concept of multiplication and division of fractions.
2.51 Compute and perform simple multiplication and division of fractions and apply these procedures to solving problems.
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Blue Print 25 (39%)
compare and rank
1.0 Students compare and order positive and negative fractions, decimals, and mixed numbers. Students solve problems involving fractions, ratios, proportions,
and percentages:
1.13 Compare and order positive and negative fractions, decimals, and mixed numbers and place them on a number line.
1.21 Interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a/b, a to b, a:b).
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inverse operations
1.3 Use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21, find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse
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Decimals, Fractions and Percents
Key Standard
1.45 Calculate given percentages of quantities and solve problems involving discounts at sales, interest earned, and tips.
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2.0 Students calculate and solve problems involving addition, subtraction, multiplication, and division:
2.11/2 Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation.
2.21/2 Explain the meaning of multiplication and division of positive fractions and perorm the calculations
(e.g., 5/ /16 = 5/ /15 = 2/3).
Key Standard
2.3 6 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations
of these operations.
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2.43 Determine the least common multiple and the greatest common divisor of whole numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction).
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ELL Strategies
