4th Grade Math Curriculum
Date / Math Lesson / Concept / KCAS / Flashbacks8-4-11 / 1.1 Student Ref. Book / 1.1 Introduce the Student Reference Book
I can:
8-8-12, 2011 / 1.2 Points, Line Segments, Lines, and Rays
1.3 Angles, Triangles, and Quadrangles
1.4 Parallelograms
1.5 Polygons / 1.2 Introduce tools for geometry; and to review points, line segments, lines, and rays.
1.3 Construct angles, triangles, and quadrangles, and to classify quadrangles.
1.4 Classify quadrangles based on their properties.
1.5 Identify properties of polygons and distinguish between convex and nonconvex (concave) polygons; and to explore geometric definitions and classification. / 4.G.1
4.G.2
4.MD.5.A,B / 1-4
I can:
· Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.
· Identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines in two-dimensional figures.
· Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.
· An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
· An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
8-15-19, 2011
Aug. 12-½ day / 1.6 Drawing Circles with a Compass
1.7 Circle Constructions
1.8 Hexagon and Triangle Constructions
1.9 Review and Assess / 1.6 Explore regular polygons; and practice using a compass.
1.7 Define a circle; and to explore designs with circles.
1.8 Construct figures with a compass and a straightedge.
1.9 Review and Assess / 4.MD.5 / 5-8
· I can…. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines.
· Identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines in two-dimensional figures.
· Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement.
· An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
8-22-26, 2011 / 2.1 A Visit to Washington, D.C.
2.2 Many Names for Numbers
2.3 Place Value in
Whole Numbers
2.4 Place Value with a Calculator
2.5 Organizing and Displaying Data / 2.1 Review and find examples of the various ways in which numbers are used; and to introduce the World Tour Project.
2.2 To find equivalent names for numbers.
2.3 Name values of digits in numbers up to hundred-millions; and to read and write numbers up to hundred-millions.
2.4 Practice place-value skills through a calculator routine; and to read and write large numbers.
2.5 Organize and display data with a tally chart; and to determine the maximum, minimum, range, and mode of a set of data. / 4.NBT.1
4.NBT.2 / 9-12
I can…
· 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. e.g. 700 / 70 = 10.
· Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
· Compare two multi-digit numbers based on meanings of the digits in each place, using , , or =. symbols.
Aug. 29 -Sept. 2, 2011 / 2.6 The Median
2.7Addition of Multidigit #’s
2.8 Displaying Data with a Bar Graph / 2.6 Review how to display a set of data with a line plot; and review how to find the median of a set of data.
2.7 Review the partial-sums method for addition; and introduce a column-addition method similar to the traditional addition algorithm.
2.8 Measure length to the nearest ½ cm; and to make and use bar graphs for a set of data. / 4.NBT.4 / 13-16
I can… Add or subtract multi-digit whole numbers using the standard algorithm.
Sept. 6-9, 2011 / 2.9 Subtraction of Multidigit #s
2.10 Review and Assess
3.1 Multiplication Facts
3.2 Multiplication Facts Practice / 2.9 Review the trade-first and counting-up methods for subtraction; introduce the partial-differences method for subtraction.
2.10 Review and Assess
3.1 Review strategies for multiplication facts; and to work toward instant recall of the multiplication facts.
3.2 Establish a 50-facts test routine; and to practice multiplication facts. / 4.NBT.4 / 17-20
I can… Add or subtract multi-digit whole numbers using the standard algorithm.
Sept. 12-16, 2011 / 3.3 More Multiplication Facts Practice / 3.3 To give a 50-facts test and record results; and to practice multiplication facts. / 21-24
Sept. 19-23, 2011 / 3.4 Multiplication, Division, and Fractions
3.5 World Tour: Flying to Africa
3.6 Finding Air Distances
3.7 A Guide for Solving Number Stories / 3.4 Explore the relationship between multiplication and division and between division and fractions; and to practice division facts.
3.5 Continue World Tour Project
3.6 To find air distances.
3.7 Introduce a simplified approach to solving number stories; and to solve # stories. / 4.MD.2 / 25-28
I can…
· Use addition, subtraction, multiplication, and division to solve word problems involving distance, 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.
Sept. 26-30, 2011 / Fall Break / Fall Break / Fall Break / Fall Break
Oct. 10-14, 2011 / 3.8 True or False # Sentences
3.9 Parentheses in # Sentences
3.10 Open Sentences
3.11 Logic Problems
3.12 Review and Assess / 3.8 Review the meanings of # sentences; and to determine whether # sentences are true or false.
3.9 Review the use of parentheses in # sentences.
3.10 Introduce vocabulary and notation for open sentences; and to solve open sentences.
3.11 To develop reasoning skills.
3.12 Review and Assess / 4.NBT.2 / 29-32
· Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form.
· Compare two multi-digit numbers based on meanings of the digits in each place, using , , or =.
Oct. 17-21, 2011 / 4.1 Decimals: Review of Basic Concepts
4.2 Comparing and Ordering Decimals
4.3 Estimating with Decimals
4.4 Decimal Addition and Subtraction / 4.1 Review basic concepts and notation for decimals through hundredths.
4.2 Compare and order decimals in tenths and hundredths.
4.3 To learn why decimals are useful; and to estimate sums and differences of decimals.
4.4 To extend methods for whole-# addition and subtraction to decimals. / 4.NF.5
4.NF.7 / 33-36
I can…
· Express a fraction with a denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. e.g., 3/10 = 30/100 and add 3/10 + 4/100 = 34/100 because 3/10 = 30/100.
· 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.
Oct. 24-28, 2011
Oct. 26-1/2 day / 4.5 Decimals in Money
4.6Thousandths
4.7 Metric Units of Length
4.8 Personal References for Metric Length / 4.5 To compute balances in savings account.
4.6 To extend basic concepts and notation for decimals to thousandths.
4.7 To review the relationships among metric units of length; and to work with metric measurements.
4.8 To establish personal references for metric units of length. / 4.NF.6 / 37-40
· Use decimal notation for fractions with denominators 10 or 100. e.g., rewrite 0.62 as 62/100; describe a length as 0.62 meters, locate 0.62 on a number line diagram.
Oct. 31-Nov. 4, 2011 / 4.9 Measuring in Millimeters
4.10 Decimal Place Value
4.11 Review and Assess / 4.9 Measure lengths to the nearest millimeter; and to convert measurements between mm and cm.
4.10 To summarize the concepts presented in this unit by extending the base-ten place-value system to decimals.
4.11 Review and Assess / 4.MD.1 / 41-44
I can…
· 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. e.g., 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),….
Nov. 7-11, 2011
*Nov. 8th No School / 5.1 Extended Multiplication Facts
5.2 Multiplication Wrestling
5.3 Estimating Sums
5.4 Estimating Products / 5.1 Extend basic multiplication facts to products of ones and tens and products of tens and tens.
5.2 Practice the extended multiplication facts; and to introduce the basic principles of multiplication with multidigit numbers.
5.3 Examine situations in which it is appropriate to make an estimate; and to estimate sums.
5.4 Estimate whether a product is in the tens, hundreds, thousands, or more. / 4.NBT.3 / 45-48
I can….
· Use place value understanding to round multi-digit whole numbers to any place.
Nov. 14-18, 2011 / 5.5 The Partial-Products Algorithm for Multiplication (Part 1)
5.6 The Partial-Products Algorithm for Multiplication (Part 2)
5.7 Lattice Multiplication
5.8 Big Numbers / 5.5 To learn and practice the partial-products algorithm for 1-digit multipliers.
5.6 To learn and practice the partial-products algorithm for 2-digit multipliers.
5.7 To learn and practice the lattice method for multiplication.
5.8 To read, write, and compare large numbers using patterns in the base-ten place-value system. / 4.NBT.5 / DB 4th
23,24,25,26
I can…
· Multiply a 4 digit whole number by a 1 digit whole number.
· Multiply 2 2 digit whole numbers.
· Illustrate and explain my calculations by using equations, rectangular arrays, and/or area models.
Nov. 21-25, 2011
*Nov. 23-25, No School / Thanksgiving Math / To review math skills / 4.NBT.4
I can… Add or subtract multi-digit whole numbers using the standard algorithm.
Nov. 28-Dec. 2, 2011 / 5.9 Powers of 10
5.10 Rounding and Reporting Large Numbers
5.11 World Tour: Traveling to Europe
5.12 Review and Assess / 5.9 Introduce exponential notation for powers of 10 as a way of naming the values of places in our base-ten system.
5.10 To discuss sensible ways of reporting a count when a large number of items has been counted.
5.11 To look up and compare numerical data, including geographical measurements.
5.12 Review and Assess / 4.NBT.3 / 49-52
I can… Use place value understanding to round multi-digit whole numbers to any place.
Dec. 5-9, 2011 / 6.1 A Multiple Strategy for Division
6.2 The Partial-Quotients Division Algorithm
6.3 Multiplication and Division # Stories
6.4 Expressing and Interpreting Remainders / 6.1 To solve equal-grouping division stories by using a multiples-of-10 strategy.
6.2 To introduce and practice a “low stress” division algorithm.
6.3 To solve multiplication and division number stories, using diagrams to organize information.
6.4 To express remainders in division as fractions or decimals, and answers as mixed numbers or decimals; and to interpret remainders in problem contexts. / 4.NBT.6 / 53-56
I can…
· 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.
Dec. 12-16, 2011 / Christmas Play / Christmas Play / 57-60
Dec. 17-Jan. 1, 2012 / Christmas Break / Christmas Break / Christmas Break / Christmas Break
Jan. 2-6, 2012 / 6.5 Rectangular Coordinate Grids for Maps
6.6 Rotations and Angles
6.7 Using a Circular Protractor / 6.5 To use letter-number pairs and ordered pairs of numbers to locate points on a rectangular grid; and to use a map scale.
6.6 To review rotations; and to make and use a circular protractor.
6.7 To use a circular protractor to measure and draw angles less than 360º. / 4.MD.6 / 61-64
I can…
· Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
Jan. 9-13, 2012 / 6.8 The Half-Circle Protractor
6.9 The Global Grid System
6.10 Latitude and Longitude
6.11 Review and Assess / 6.8 To classify angles as acute, right, obtuse, straight, and reflex; and to use a half-circle protractor to measure angles.
6.9 To introduce the partitioning of the globe using circles of latitude and semicircles of longitude; and to use a half-circle protractor to draw angles.
6.10 To find the latitude and longitude of given places using a globe and a map; and to identify places for which the latitude and longitude are given.