MONTHS

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Number and Operations

Place Value: Whole Numbers and Decimals

1.       Read, write, and identify numbers from millions to thousandths (B1)

2.       Recognize the place value of a given digit from thousandths to millions.  (B2)

3.       Roman numerals to 1000

4.       Rounding whole numbers and decimals.

5.       Represent whole numbers and two-place decimals in expanded form. (B1)

6.       Represent, compare, and order whole numbers and decimals to thousandths.

       (B2)

Place Value:

Whole Numbers and Decimals

1.       Read, write, and identify numbers up to 7 digits

2.       Roman numerals to 1000

3.       Rounding whole numbers and decimals

Fractions

1.       Identify prime and composite numbers

2.       Find common factors

3.  Find common multiples

4.  Compare    and order fractions using the appropriate symbol (<, >, or =). (B2)

5.  Model proper fractions, improper fractions, and mixed numbers.

(B1/2)

Fractions

1.       Identify prime and composite numbers

2.       Find common factors

3.       Find common multiples

4.       Show the relationship between improper fractions and mixed numbers.

       (B2)

5. Recognize and generate equivalent forms of commonly used fractions, decimals, and percents(eg. 1/10, ¼, ½, ¾). (B3)

Number and Operations

(continued)

Adding and Subtracting Whole Numbers and Decimals

1.       Using money (B2)

2.       Multi-digit numbers up to 5 addends

3.       Complete number sentences

4.       Properties-commutative

zero, associative

5.  Use strategies to estimate the results of whole-number computations (B2)

6. Estimating            sums and differences

7. Inverse operation to solve

Read and solve word problems using addition or subtraction

8. Solve one- or two-step real-world problems involving addition, and subtraction of whole numbers and/or decimals. (B2)

Adding and Subtracting Whole Numbers and Decimals

1.       Using money

2.       Multi-digit numbers up to 5 addends

3.       Complete number sentences

4.       Properties-commutative, zero, associative

5.       Use strategies to estimate the results of whole-number computations (B2)

6.       Estimating sums and differences

7.       Inverse operation to solve

Adding and Subtracting Whole Numbers and Decimals

1.       Using money

2.       Multi-digit numbers up to 5 addends

3.       Complete number sentences

4.       Properties- zero, associative

5.       Use strategies to estimate the results of whole-number computations (B2)

6.       Estimating sums and differences

7.       Inverse operation to solve

Multiplying Whole Numbers

1.       Multiplying money

2.       Multiplying 2 and 3 digit numbers with and without zeros (B2)

3.       Properties-distributive, commutative, zero, associative, property of one

4.       Use strategies to estimate the results of whole-number computations (B2)

5.       Solve one- or two-step real-world problems involving multiplication of whole numbers and/or decimals. (B2)

Multiplying Whole Numbers

1.       Multiplying money

2.       Multiplying 2 and 3 digit numbers with and without zeros

3.       Properties-distributive, commutative, zero, associative, property of one

Division

1.       Properties of Division

2.       Divide 2 or 3 digit numbers by one or two digits

         (B2)

3.       Estimate quotient

4.       Short division

5.       Solve one- or two-step real-world problems involving division of whole numbers and/or decimals. (B2)

Fractions

1.       Identify fractions

2.       Identify equivalent fractions

3.       Fractions in simplest form

4.       Estimate sums and differences

5.       Add and subtract commonly used fractions.

         (B2)

6.       Add and subtract like and unlike fractions and mixed numbers

7.       Fractions as decimal, percent, ratio

8.       Multiply and divide fractions

 Fractions

1.       Identify fractions

2.       Identify equivalent fractions

3.       Fractions in simplest form

4.       Estimate sums and differences

5.       Add and subtract like and unlike fractions and mixed numbers

6.       Fractions as decimal, percent, ratio

7.       Multiply a fraction by a multiple of its denominator (denominators</=10)

8.       Multiply and divide fractions

Measurement

Measurement

1.       Use estimation to determine if length or volume measurement is reasonable. (B1)

2.       Measure length to the nearest ¼ inch or centimeter. (B1)

3.       Compute metric of customary measures and intervals of time

4.       Choose appropriate metric or customary units of length, capacity of mass

5.       Read and record temperature using Fahrenheit and Celsius scales. (B1)

6.       Solve real-world problems involving measurement and elapsed time to the quarter hour. (B2)

7.       Solve real-world problems involving addition and subtraction of measurements. (B1)

8.       Develop, understand, and use formulas to find the area of parallelograms and triangles. (B3)

Measurement

1.       Identify length to nearest millimeter

2.       Compute metric of customary measures and intervals of time

3.       Choose appropriate metric of customary units of length, capacity or mass

4.       Demonstrate an understanding of the relationships among the units within the same system of measurements. (B2)

5.       Select and apply appropriate standard units to measure length, perimeter, area, capacity, volume, width, time, temperature, and angles. (B2)

6.       Solve real-world problems involving perimeter and area of rectangles. (B3)

7.       Develop strategies for estimating the perimeters and areas of geometric figures. (rectangles) (B2)

Algebra

1. Apply base function rules.

 (B2)

2.  Interpret and solve open sentences that involve addition and subtraction.

(B2)

3. Connect open sentences to real-world situations.

(B2)

1. Apply base function rules.

 (B2)

2.  Interpret and solve open sentences that involve addition and subtraction.

(B2)

3. Connect open sentences to real-world situations.

(B2)

Generalize and extend geometric and numerical patterns. (B1)

1. Apply base function rules.

 (B2)

2.  Interpret and solve open sentences that involves multiplication.

(B2)

3. Connect open sentences to real-world situations.

(B2)

4. Generalize numerical patterns using equations.

(B3)

1. Apply base function rules.

 (B2)

2.  Interpret and solve open sentences that involves division.

         (B2)

3. Connect open sentences to real-world situations.

        (B2)

1. Express mathematical relationships using equations.

(B3)

Extend rate charts to solve real-world problems. (B3)

Geometry

Geometry

1.       Identify acute, obtuse, right and straight angles

2.       Measure angels

3.       Recognize congruent triangles

4.       Identify isosceles, scalene, equilateral triangles

5.       Identify Lines, segments, points, planes

6.       Draw points, lines, line segments, rays, and angles. (B1)

7.       Circles-diameter, circumference, radius, center

8.       Draw lines of symmetry for two-dimensional geometric figures. (B1)

9.       Find and specify points in Quadrant I of a coordinate system. (B2)

Geometry

1.       Identify acute, obtuse, right and straight angles

2.       Measure angels

3.       Recognize congruent triangles

4.       Identify isosceles, scalene, equilateral triangles,

5.       Lines, segments, points, planes

6.       Circles- diameter, circumference, radius, center

7.       Identify two- and three- dimensional shapes given defining attributes.  (B2)

8.       Use properties to classify geometric figures. (B3)

9.       Investigate, predict, and describe the results of transformations of two-dimensional geometric figures (i.e. slides, flips, turns). (B2)

Geometry

1.       Find perimeter and circumference

2.       Area of parallelograms, triangles, complex and curved figures

3.       Estimate and find volume of rectangular prism

Geometry

1.       Find perimeter and circumference

2.       Area of parallelograms, triangles, complex and curved figures

3.       Estimate and find volume of rectangular prism

4.       Build a three-dimensional object from a two-dimensional representation (net) of that object. (B3)

Data Analysis and

Probability

Evaluate answers for reasonableness

Graphs/Charts

1. Represent data using pictographs, bar graphs, table, line graphs, and circle graphs. (B1)

2. Interpret data displayed in tables, pictographs, line graphs, or bar graphs. (B1)

3. Determine the median of a data set. (B2)

4. Determine the mode of a data set. (B2)

5. Make predictions base on data. (B3)

6. Determine the most likely, least likely, or equally likely outcomes. (B2)

Determine the mean of a data set. (B3)

Interpreting information

Represent the likelihood of an event using a fractional number from zero to one. (B2)

Use a table, schedule or chart to solve problems