4 th Grade Mathematics Map

Transcription

1 4 th Grade Mathematics Map * Red text indicates eligible content that is NOT covered through Investigations UNIT 2 Eligible Content to be taught through 10-minute math, science lessons, morning messages, etc.: CC A.2: Translate information from one type of data display to another (table, chart, bar graph, pictograph). Tuesday, Sept 2- Thursday, Oct 9 [27 days] Unit 5: Landmarks & Large Numbers On or around Oct. 10 CC B.1 CC B.2 4.NBT.1 4.NBT.2 4.NBT.3 4.NBT.4 4.NBT.5 4.NBT.6 TEN-MINUTE MATH Practicing Place Value Today s Number Rounding Estimating Sums & Differences Addition Strategies Decompose Expanded form Less than Greater than Place Value Subtraction strategies US Algorithm/ Standard Algorithm Period (ex: ones period) Word form UNIT 5 S & ELIGIBLE CONTENT: CC B.1: Apply place value concepts to show an understanding of multi digit whole numbers. M04.A-T Demonstrate an understanding that in a multi-digit whole number (through 1,000,000), a digit in one place represents ten times what it represents in the place to its right. Example: Recognize that in the number 770, the 7 in the hundreds place is ten times the 7 in the tens place. M04.A-T Read and write whole numbers in expanded, standard, and word form through 1,000,000. M04.A-T Compare two multi-digit numbers through 1,000,000 based on meanings of the digits in each place, using >, =, and < symbols. M04.A-T Round multi-digit whole numbers (through 1,000,000) to any place. CC B.2: Use place value understanding and properties of operations to perform multi digit arithmetic. M04.A-T Add and subtract multi-digit whole numbers (limit sums and subtrahends up to and including 1,000,000). M04.A-T Estimate the answer to addition & subtraction problems using whole numbers through six digits.

2 Tuesday, Oct 14-Wed, Nov 5 [16 days] Unit 1: Factors, Multiples, & Arrays On or around Nov 5 CC A.1 CC A.2 CC A.4 4.OA.1 4.OA.2 4OA.3 4.OA.4 4.OA.5 Counting Around the Class Quick Images Factor & Multiples Prime vs. Composite Number Patterns Missing Symbol Multiplicative Comparison Array Composite number Dimension (of an array) Factor Multiple Multiplication Multiplication combination Prime number Product Square number DECOMPOSE-break apart Multiplicative comparison UNIT 1 S & ELIGIBLE CONTENT: CC A.1: Represent and solve problems involving the four operations. M04.B-O Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative as multiplication equations. Example 1: Interpret 35 = 5 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Example 2: Know that the statement 24 is 3 times as many as 8 can be represented by the equation 24 = 3 8 or 24 = 8 3. M04.B-O Multiply or divide to solve word problems involving multiplicative comparison, distinguishing multiplicative comparison from additive comparison. Example: Know that 3 4 can be used to represent that Student A has 4 objects and Student B has 3 times as many objects not just 3 more objects. M04.B-O Solve multi-step word problems posed with whole numbers using the four operations. Answers will be either whole numbers or have remainders that must be interpreted yielding a final answer that is a whole number. Represent these problems using equations with a symbol or letter standing for the unknown quantity. M04.B-O Identify the missing symbol (+,,,, =, <, and >) that makes a number sentence true (single-digit divisor only). CC A.2: Develop and/or apply number theory concepts to find factors and multiples. M04.B-O Find all factor pairs for a whole number in the range of Recognize that a whole # is a multiple of each of its factors. Determine whether a # to 100 is a multiple of a 1- digit #. Determine prime vs. composite. CC A.4: Generate and analyze patterns using one rule. M : Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself (For Unit 1, teach this using number patterns. Example: 12, 16, 20, 24,, 32)

3 Thurs, Nov 6- Fri, Dec 12 [25 days that include conference days] Unit 4: Size, Shape, & Symmetry Unit 7: Moving Between Solids & Silhouettes (Just lessons 3.5A & 3.5B) Unit 4/7 Assessment between Dec If assessment is administered on Dec 12, the week of Dec 15 can be used for Unit 2 or other eligible content. CC A.1 CC A.2 CC A.3 CC A.1 CC A.6 CC A.4 4.G.1 4.G.2 4.G.3 4.G.1 4.G.2 4.G.3 4.G.1 4.G.2 4.G.3 4.MD.1 4.MD.2 4.MD.3 4.MD.6 4.MD.7 4.OA.5 Quick Images Today s Number Input/Output Tables Find the Missing Angle Measurement Parallel vs. Perpendicular Lines Right triangles Symmetry Measurement conversions Area/Perimeter Time Protractor Practice Lines/Angles Acute angle Angle Area Benchmark Capacity Centimeter Elapsed time (Time intervals) End point Equilateral triangle Estimate Foot Gram Hexagon Hour Inch Kilogram Kilometer Linear measurement Line Line segment Liter Mass Meter Metric System Milliliter Millimeter Minute Obtuse angle Orientation Ounce Parallel Parallelogram Pentagon Perimeter Perpendicular Point Polygon Pound Protractor Quadrilateral Ray Rectangle Right angle Right triangle Second Side Square Square unit Standard System Symmetrical Symmetry Trapezoid Vertex (Vertices) Volume Weight Yard

4 UNIT 4 & UNIT 7 S & ELIGIBLE CONTENT CC A.1: Draw lines & angles and identify these in 2-dimensional figures. M04.C-G Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular & parallel lines. Identify these in 2-D figures. CC A.2: Classify 2-dimensional figures by properties of their lines & angles. M04.C-G Classify 2-D figures based on presence or absence of parallel or perpendicular lines, or presence or absence of angles of a specified size. Recognize right triangles as a category & identify them. CC A.3: Recognize symmetric shapes and draw lines of symmetry. M04.C-G Recognize a line of symmetry for a 2-D figure as a line across the figure such that the figure can be folded along the line into mirroring parts. CC A.1: Solve problems involving measurement & conversions from a larger unit to a smaller unit. M04.D-M Know relative sizes of measurement units within one system (km, m, cm; kg, g, lb, oz; l, ml; hr, min, sec) Express measurements in a larger unit in a smaller unit. Record measurement equivalents in a 2-column table. M04.D-M Use the 4 operations to solve word problems involving distances, intervals of time (elapsed time), liquid volumes, mass, money. M04.D-M Area & perimeter for rectangles (may include a missing side length). M04.D-M Identify time (analog or digital) as the amount of minutes before or after the hour. CC A.6: Measure angles & use properties of adjacent angles to solve problems. M04.D-M Measure angles using a protractor & sketch them. M04.D-M Solve addition & subtraction problems to find unknown angles on a diagram in real-world & math problems (Use Power Polygons for this & have students record equations.) CC A.4: Generate and analyze patterns using one rule. M04.B-O Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. M04.B-O Determine the missing elements in a function table. M04.B-O Determine the rule for a function given a table.

5 Mon Jan 5 - Mon, Feb 2 [20 days] Unit 3: Multiple Towers & Division Stories On or around Feb 2 CC B.2 CC A.1 4.NBT.4 4.NBT.5 4.NBT.6 4.OA.1 4.OA.2 4.OA.3 Counting around the Class Quick Images Estimation, then solution of products Multiplication Array Division Doubled Equation Factor Division with & without remainders Multi-step word problems Halved Multiple Multiplication Product Remainder UNIT 3 S & ELIGIBLE CONTENT CC B.2: Use place value understanding & properties of operations to perform multi-digit arithmetic. M04.A-T Estimate the answer to multiplication problems using whole #s (no more than 2 digits x 1 digit, excluding powers of 10). M04.A-T Multiply whole #s. M04.A-T Divide dividends by divisors with answers written as whole-number quotients & remainders. CC A.1: Represent & solve problems involving the 4 operations. M04.A-T Solve multi-step word problems posed with whole #s using the 4 operations. Answers will be either whole #s or have remainders that must be interpreted yielding a final answer that is a whole #.

6 Tues, Feb 3 - Wed, March 18 [30 days] Unit 6: Fraction Cards & Decimal Squares Mon, April 6- Fri, April 10 PSSA Prep Unit 6 Assessment between March If assessment is administered on 3/18, use 3/19-23 for PSSA prep CC C.1 CC C.2 CC C.3 CC A.4 4.NF.1 4.NF.2 4.NF.3 4.NF.4 4.NF.5 4.NF.6 4.NF.7 4.MD.4 Practicing Place Value Quick Survey Equivalent fractions Comparing fractions +/- fractions & mixed #s Decomposing fractions Multiplying whole # by fraction + fractions with denominators 10 & 100 Decimal Denominator Fraction Improper fraction Landmarks Line plot Mixed number Numerator Sixths Decimal notation with fractions Comparing decimals Thirds Unit fraction: (numerator is 1) Line plot with fractions

7 UNIT 6 S & ELIGIBLE CONTENT CC C.1: Extend the understanding of fractions to show equivalence & ordering. M04.A-F Recognize & generate equivalent fractions. M04.A-F Compare two fractions with different numerators & different denominators (2, 3, 4, 5, 6, 8, 10, 12, and 100) using comparisons symbols & justify the conclusions. CC C.2: Build fractions from unit fractions by applying & extending previous understandings of operations on whole #s. M04.A-F.2.1.1: Add & subtract fractions with a common denominator. M04.A-F.2.1.2: Decompose a fraction into a sum of fractions. Justify decompositions. M04.A-F.2.1.3: Add/subtract mixed numbers with like denominators. Answers do not need to be simplified & no improper fractions as the final answer. M04.A-F.2.1.4: Solve +/- word problems of fractions. M04.A-F.2.1.5/6: Multiply a whole # by a unit fraction. Also, multiple a whole # by a non-unit fraction. M04.A-F.2.1.7: Solve word problems involving multiplication of a whole # by a fraction. M04.A-F.3.1.1: Add two fractions with denominators 10 and 100. CC C.3: Connect decimal notation to fractions, and compare decimal fractions. M04.A-F.3.1.2: Use decimal notation for fractions with denominators 10 & 100. M04.A-F.3.1.3: Compare two decimals to hundredths with comparison symbols & justify the conclusions. M04.D-M.2.1.1: Make a line plot to display a data set of measurements in fractions of a unit (1/2, ¼, 1/8) CC A.4: Represent & interpret data involving fractions using information provided in a line plot. M04.D-M.2.1.2: Solve problems involving +/- of fractions by using info in line plots.

8 Mon, May 4 Fri, June 5 (Last day of 3 rd trimester) Unit 8: How Many Packages? How Many Groups? By June 5 CC B.2 CC A.1 4.NBT.4 4.NBT.5 4.NBT.6 4.OA.1 4.OA.2 4.OA.3 Counting Around the Class Closest Estimate Multiplying & Dividing (up to 4-digit factor or dividend) Multi-step word problems Interpreting a remainder Cluster Division Divisor Estimate Factor Using a symbol to represent an unknown quantity UNIT 8 S & ELIGIBLE CONTENT CC B.2: Use place value understanding and properties of operations to perform multi-digit arithmetic. M04.A-T Multiply a whole # of up to 4 digits by a 1-digit whole # & multiply two two-digit #s. M04.A-T Divide up to 4-digit dividends by 1-digit divisors with answers written as wholenumber quotients & remainders. M04.A-T Estimate the answer to multiplication problems (no more than 2 digits x 1 digit, excluding powers of 10). CC A.1: Represent & solve problems involving the 4 operations. M04.B-O Solve multi-step word problems with whole numbers using the 4 operations. Answers will be either whole #s or have remainders that must be interpreted yielding a final answer that is a whole #. Represent these problems using equations with a symbol or letter standing for an unknown quantity.