Math Grade 4. Recognize that a digit in one place represents ten times what it represents in the place to its right. (in numbers up to 1,000)

Size: px

Start display at page:

Download "Math Grade 4. Recognize that a digit in one place represents ten times what it represents in the place to its right. (in numbers up to 1,000)"

Joanna Williamson
6 years ago
Views:

1 Math Grade 4 Number Sense Place value Comparing numbers Rounding numbers Strategies for multiplication (term 3) Strategies for division (term 3) Fractions (term 2) Decimal numbers (term 2) Comparing decimals (term 2) Standards to be addressed in Number Sense Standard Topic Term 1 (what is appropriate Term 2 (what is 4NBT1 Recognize that a digit in one place represents ten times what it represents in the place to its right. 4NBT2 Read and write multi digit whole numbers using base-ten numerals, number names, and expanded form 4NBT2 Compare multi-digit numbers using the symbols >, <, or = based on the meaning of the digits in each place. 4NBT3 4NBT5 Use place value understanding to round multi-digit whole numbers to any place. Multiply a whole number of up to four digits by a one-digit whole number using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Recognize that a digit in one place represents ten times what it represents in the place to its right. (numbers up to 1,000) Use a tool to read and write multi digit whole numbers using base-ten numerals, number names, and expanded form up to 100,000 Compare multi-digit numbers using the symbols >, <, or = based on the meaning of the digits in each place up to 100,000. Use place value understanding to round multi-digit whole numbers to 100,000. Use fact extensions to multiply by a multiple of 10. Recognize that a digit in one place represents ten times what it represents in the place to its right. (in numbers up to 1,000) Read and write multi digit whole numbers using base-ten numerals, number names, and expanded form up to 100,000. Compare multi-digit numbers using the symbols >, <, or = based on the meaning of the digits in each place up to 100,000. Use place value understanding to round multi-digit whole numbers to 100,000. Multiply accurately 2-digit by 1-digit numbers. Recognize that a digit in one place represents ten times what it represents in the place to its right. Read and write multi digit whole numbers using base-ten numerals, number names, and expanded form up to 1,000,000. Compare multi-digit numbers using the symbols >, <, or = based on the meaning of the digits in each place. Use place value understanding to round multi-digit whole numbers to any place. Multiply a whole number of up to four digits by a one-digit whole number using strategies based on place value and the properties of operations. Illustrate and explain the calculation by

2 4NBT5 4NBT6 4NF1 4NF2 4NF5 4NF6 4NF7 Multiply two two-digit numbers based using strategies based on place value and properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Use visual fraction models to explain fraction equivalence. Compare two fractions with different numerators or denominators. Express a fraction with a denominator of 10 with an equivalent fraction with denominator of 100. Use decimal notation for fractions with denominators of 10 or 100. Compare two decimals to hundredths using the symbols >, <, or = by reasoning about their size. Justify with a visual fraction model. using equations, rectangular arrays, and/or area models. Multiply two two-digit numbers based using strategies based on place value and properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Recognize two equivalent fractions Use visual fraction models to explain to twelfths. fraction equivalence. Use a model to compare Use a model to compare two Compare two fractions with different two fractions with the same fractions with the same size whole. numerators or denominators. size whole. Attempt to translate between decimals and fractions up to 100ths. Express a fraction with a denominator of 10 with an equivalent fraction with denominator of 100. (without manipulatives) Use decimal notation for fractions with denominators of 10 or 100. Represent and translate fractions and decimals to hundredths. Compare decimals using a model. Compare two decimals to hundredths using the symbols >, <, or = by reasoning about their size. Justify with a visual fraction model.

3 Computation Addition Subtraction Multiplication facts Division facts Adding fractions (term 2) Subtracting fractions (term 2) Multiplying fractions (term 3) Standards to be addressed in Computation Standard Topic Term 1 (what is 4NBT4 Fluently add and subtract multi-digit whole numbers Fluently add and subtract using the standard algorithm. four-digit whole numbers using the standard algorithm. 4NBTMA5a 4NF3a,c 4NF3b Know multiplication facts and related division facts through 12 x 12. Add and subtract fractions including mixed numbers with like denominators. Decompose fractions into a sum of fractions in many ways and represent with an equation. Know the multiplication facts 1, 2, 3, 4, 5, and 10. Term 2 (what is Fluently add and subtract four-digit whole numbers using the standard algorithm. Know the facts through 10 x 10. Add and subtract fractions and mixed numbers with no regrouping using models or manipulatives. Decompose fractions, represent with equations and visual models. Term 3 (same as standard) Fluently add and subtract four-digit whole numbers using the standard algorithm. Know multiplication facts and related division facts through 12 x 12. Add and subtract fractions including mixed numbers with like denominators. Decompose fractions into a sum of fractions and represent with an equation. 4NF4 Multiply a fraction by a whole number. Add and subtract fractions including mixed numbers with like denominators. 4NF5 Add two fractions with denominators of 10 or 100. Add two fractions with denominators of 10 or 100 using a model. Add two fractions with denominators of 10 or 100.

4 Operations and Algebraic Thinking Word problems with addition of fractions (term 2) Word problems with subtraction of fractions (term 2) Word problems with multiplication of fractions (term 3) Multi-step word problems involving the four operations Factors and multiples Number patterns (term 3) Standards to be addressed in Operations and Algebraic Thinking Standard Topic Term 1 (what is appropriate Term 2 (what is 4NF3d 4NF4c 4OA1 4OA2 4OA3 Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators by using visual fraction models and equations to represent the problem. Solve word problems involving multiplication of a fraction by a whole number by using visual fraction models and equations to represent the problem. Interpret and represent comparisons as multiplication equations. Multiply or divide to solve word problems. Use drawings or equations with a symbol for the unknown. Using the four operations, solve multi-step word problems with whole numbers and whole number answers Use manipulatives and visual fraction models to add fractions in word problems. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators by using visual fraction models and equations to represent the problem. Solve word problems involving multiplication of a fraction by a whole number by using visual fraction models and equations to represent the problem. Recognize comparisons as multiplication situations. Identify word problems as additive or multiplicative and explain why. Add or subtract to solve word problems. Estimate to generate a reasonable answer before solving. 4OA4 Find factor pairs of whole numbers to 100. Find factor pairs of whole numbers < 40. Recognize comparisons as multiplication situations. Multiply to solve multiplicative comparison stories. Using the operations, solve addition, subtractions, or multiplication word problems and assess solution based on an estimate. Find factor pairs of whole numbers < 40. Interpret and represent comparisons as multiplication equations. Multiply or divide to solve word problems. Use drawings or equations with a symbol for the unknown. Using the four operations, solve multi-step word problems with whole numbers and whole number answers Find factor pairs of whole numbers to 100.

5 4OA4 Identify prime or composite numbers. Identify prime or composite numbers that are less than 40. 4OA4 Find multiples of whole numbers. Find multiples of one-digit numbers up to 40 4OA5 Generate a number pattern or shape pattern that follows a given rule. Identify prime or composite numbers that are less than 40. Find multiples of one-digit numbers up to 40. Identify prime or composite numbers up to 100. Find multiples of whole numbers. Generate a number pattern or shape pattern that follows a given rule. Geometry Lines Angles Lines of symmetry Classifying figures Standards to be addressed in Geometry Standard Topic Term 1 (what is Term 2 (what is appropriate 4G1 Draw and identify lines and angles. Draw and label points, Draw and identify lines and lines, line segments and angles. rays with support from SRB. 4G1 4G1 4G2 4G3 Identify types of angles (acute, obtuse, right) in two-dimensional figures. Identify parallel and perpendicular lines in twodimensional figures. Classify two-dimensional figures based on the absence or presence of parallel or perpendicular lines or angles of a specified size. Identify a line of symmetry for a twodimensional figure. Correctly identify right angles. Identify properties of segments and right angles within quadrilaterals and triangles. Identify a line of symmetry in 2-D figures.. Correctly identify right angles. Identify parallel and perpendicular lines. Identify properties of segments and right angles within quadrilaterals and triangles. Identify a line of symmetry in 2-D figures. Draw and identify lines and angles. Identify types of angles (acute, obtuse, right) in twodimensional figures. Identify parallel and perpendicular lines in twodimensional figures. Classify two-dimensional figures based on the absence or presence of parallel or perpendicular lines or angles of a specified size. Identify a line of symmetry for a two-dimensional figure.

6 Data Systems of measurement Problems with time, distance, mass, and money Area Perimeter Line plots (term 2) Measure angles (term 3) Standards to be addressed in Data Standard Topic Term 1 (what is appropriate 4MD1 Know relative sizes of measurement units within one system of units. 4MD1 4MD2 4MD3 4MD3 4MD4 4MD4 Within a system of measurement express units in a larger unit in terms of a smaller unit. Use the four operations to solve word problems involving distances, intervals of time, liquid volume, masses of objects, and money. Apply the area formula for rectangles in realworld Apply the perimeter formula for rectangles in real-world Make a line plot to display a data set of measurements in factions of a unit. Solve problems involving addition and subtraction of fractions by using information presented in line plots. Explain the relationship and convert among yards, feet, and inches. Solve word problems involving distance, time, mass, and money using addition and subtraction. Apply the area formula to rectangles. Find the perimeter using a strategy. Term 2 (what is Convert among m, cm, and mm. Explain the relationship and convert among yards, feet, and inches. Solve word problems involving distance, time, mass, and money using addition, subtraction, and multiplication. Apply the area formula for rectangles in realworld Apply the perimeter formula for rectangles in real-world Make a line plot to display a data set of measurements with 1/2s and 1/4s. Solve problems involving addition and subtraction of fractions (1/2 and 1/4s) by using information presented in a line plot. Within a system of measurement express units in a larger unit in terms of a smaller unit. Within a system of measurement express units in a larger unit in terms of a smaller unit. Use the four operations to solve word problems involving distances, intervals of time, liquid volume, masses of objects, and money. Apply the area formula for rectangles in real-world Apply the perimeter formula for rectangles in real-world Independently Solve problems involving addition and subtraction of fractions by using information presented in line plots.

7 4MD5 Understand the concept of angle measurement. Identify rotations of 1/4, 1/2, and 3/4 and full turns. Recognize that angles are measured in iterations of 1-degree angles. 4MD6 4MD7 Measure angles in whole-number degrees using a protractor. Solve addition and subtraction problems to find the unknown angles on a diagram in real-world and mathematical problems. Recognize the concept of angle measurement. Measure angles in wholenumber degrees using a protractor. Solve addition and subtraction problems to find the unknown angles on a diagram in realworld and mathematical problems.

Fourth Grade Mathematics Operations & Algebraic Thinking Numbers & Operations in Base Ten

Fourth Grade Mathematics Operations & Algebraic Thinking Numbers & Operations in Base Ten UNIT 1 TIMEFRAME: 7 WEEKS STANDARDS LEARNING TARGETS VOCABULARY RESOURCES I can solve one step word problems with