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# Grade 4 Math Standards Resources

It is recommended that teachers review activities and read the associated directions and/or lesson plan ideas prior to using them with their students. In some cases, the activities are very open-ended and are best used in conjunction with paper/pencil activities or when students are paired and working on a single computer. If the directions and/or lesson plans are not obvious, a link is provided within the description of the resource.

It is essential that these standards be addressed in contexts that promote problem solving, reasoning, communication, making connections, and designing and analyzing representations.

### 4OA: Operations and Algebraic Thinking: Use the four operations with whole numbers to solve problems.

 4OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. Mega Math: Ice Station Exploration/Artic AlgebraAA. Solve Multiplication Equations Mega Math: Fraction Action/Number Line MineD. Multiplication Facts

### 4.NBT Number and Operations in Base Ten2: Generalize place value understanding for multi-digit whole numbers.

 4. NBT. 1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division. Mega Math: Ice Station Exploration/Artic Algebra BB. Solve Division Equations

### 4.NBT Number and Operations in Base Ten2: Use place value understanding and properties of operations to perform multi-digit arithmetic.

 4. NBT. 6 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. Mega Math: The Number Games/Up Up and Array L. Division with Remainders

### 4.NF Number and Operations—Fractions: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

 4. NF. 3a Understand a fraction a/b with a > 1 as a sum of fractions 1/b.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Mega Math: Fraction Action/Fractions Flare UpF. Compare Fractions Using <, >, or = 4. NF. 3b Understand a fraction a/b with a > 1 as a sum of fractions 1/b.b. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8. Mega Math: Fraction Action/Fractions Flare UpG. Add Like Fractions 4. NF.4a Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4). Mega Math: Fraction Action/Fractions Flare UpO. Multiply a Fraction by a Fraction 4. NF.4b Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.) Mega Math: The Number Games/Tiny Think TankW. Add and Subtract Mixed Numbers

### 4.NF Number and Operations—Fractions: Understand decimal notation for fractions, and compare decimal fractions.

 4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.4 For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100. Mega Math: Fraction Action/Fractions Flare Up 4.NF.6 Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram. Mega Math: Fraction Action/Fractions Flare Up N. Relate Fractions and Decimals Mega Math: Fraction Action/Number Line Mine M. Locate Decimals 4. NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model. Mega Math: Fraction Action/Number Line Mine P. Compare Decimals

### 4.MD Measurement and Data: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

 4. MD. 1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36), ... Mega Math: Shapes Ahoy/Made to Measure 4. MD. 2 Use the four operations to solve 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 measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Mega Math: Ice Station Exploration/Artic Algebra 4.MD. 3 3. Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. Mega Math: Ice Station Exploration/Artic Algebra CC. Use Formulas: Perimeter and Area 4. MD. 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. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. Mega Math: Country Countdown/White Water Graphing K. Interpret Data in a Line Graph Mega Math: IceStation Exploration/Polar Planes Mega Math: IceStation Exploration/Polar Planes Mega Math: IceStation Exploration/Polar Planes

### 4.G Geometry: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

 4. G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. Mega Math: Ice Station Exploration/Polar Planes B. Angles and Types of Angles 4.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. Mega Math: Ice Station Exploration/Polar Planes E. Types of Triangles 4.G.3 Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. Mega Math: Ice Station Exploration/Polar Planes C. Parallel, Perpendicular, Intersecting Line Segments