4th Grade

4th Grade

 

Content Area:  Math

Beaumont ISD

Grade Level 4th

Revision Date: 06/07/2016

 

1st Nine Weeks

August 24 – October 14

(37 School Days)

33 Instructional Days, 4 Test Days

Pretest: August 24 - September 2

1st Universal Screening:

August 29-September 9

Mid 9 Weeks Test: September 12-16

9 Weeks Test and Pretest: October 10-14

 

 

 

 

2nd Nine Weeks

October 17 – December 16

(39 School Days)

36 Instructional Days, 3 Test Days

Mid 9 Week Test: November 7-11

2nd Universal Screening: November 28 - December 2

9 Weeks Test and Pretest: December 12-16

Refer to instructional timelines when planning units of instruction.

See list of Ongoing Process TEKS that should be embedded in all Units of Instruction.

ALL Process TEKS are eligible for incorporating into the assessment of at least 40% of Content TEKS.

 

STAAR Standard Key:    Blue= STAAR Readiness Standard

                                              Yellow= STAAR Supporting Standard

                                                         Bold= Highest Stakes TEKS (greatest need)

                        Italics= High Stakes TEKS

 

 

 

Units

Activities-Graphing  (3 days)

 

Unit 1: Place Value of Whole Numbers and Decimals (12 days)

Interpret Place Value Positions, Comparing and Ordering Whole Numbers to 1,000,000,000, Comparing and Ordering Decimals, and Representing Fractions and Decimals on a Number Line to the 10ths and 100ths.

 

Unit 2: Addition and Subtraction of Whole Numbers and Decimals (6 days)

Rounding whole numbers; Adding and Subtracting Whole Numbers and Decimals.

 

Unit 3: Multiplication of Whole Numbers (16 days)

Multiply a Four-Digit Number by an One-Digit Number, Multiply a Two-Digit Number by a Two-Digit Number, Using Strip Diagrams.

 

TEKS/SEs

 

Unit 1: Place Value of Whole Numbers and Decimals (12 days)

4.2(A) Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left.

4.2(B) Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals.

4.2(C) Compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =.

4.2(E) Represent decimals, including tenths and hundredths, using concrete and visual models and money.

4.2(F) Compare and order decimals using concrete and visual models to the hundredths.

4.2(H) Determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.

4.3(G) Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.

 

Unit 2: Addition and Subtraction of Whole Numbers and Decimals (6 days)

4.2(D) Round whole numbers to a given place value through the hundred thousands place.

4.4(A) Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.

4.4(G) Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.

 

Unit 3: Multiplication of Whole Numbers (16 days)

4.4(B) Determine products of a number and 10 or 100 using properties of operations and place value understandings.

4.4(C) Represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15.

4.4(D) Use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties.

4.4(G) Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers

4.4(H) Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

4.5(A) Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.

Units

Unit 4: Division of Whole Numbers (9 days)

Dividing up to a Four-Digit Number by a One-Digit Number, Multiple Representations, and Solution Strategies/Algorithms

 

Unit 5: All Operations (6 days)

Adding and Subtracting Whole Numbers, Adding and Subtracting Decimals to the Hundredths Place, Use Strip Diagrams, and Input and Output Tables.

 

Unit 6: Fractions (16 days)

Decomposition of Fractions, Equivalence, Using Number Lines, and Addition and Subtraction of Fractions with Equal Denominators.

 

Unit 7: Data Representations (8 days)

Numeric Reasoning, Data, and Statistical Representations

 

TEKS/SEs

 

Unit 4: Division of Whole Numbers (12 days)

4.4(E) Represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations.

4.4(F) Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.

4.4(G) Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.

4.4(H) Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

 

Unit 5: All Operations (6 days)

4.4(A) Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.

4.5(A) Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.

4.5(B) Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.

 

Unit 6: Fractions (16 days)

4.2(G) Relate decimals to fractions that name tenths and hundredths.

4.3(A) Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b.

4.3(B) Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.

4.3(C) Determine if two given fractions are equivalent using a variety of methods.

4.3(D) Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <.

4.3(E) Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations.

4.3(F) Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.

4.3(G) Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.

 

Unit 7: Data Representations (4 days)

4.9(A) Represent data on a frequency table, dot plot, or stem and-leaf plot marked with whole numbers and fractions.

4.9(B) Solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.

4.10(A) Distinguish between fixed and variable expenses.

4.10(B) Calculate profit in a given situation.

Process Standards:

 

4.1(A) Apply mathematics to problems arising in everyday life, society, and the workplace.

4.1(B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

4.1(C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.

4.1(D) Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

4.1(E) Create and use representations to organize, record, and communicate mathematical ideas.

4.1(F) Analyze mathematical relationships to connect and communicate mathematical ideas.

4.1(G) Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

 

Beaumont  22nd Century Skills

 


Critical Thinking and Reasoning:  Thinking Deeply, Thinking Differently

Information Literacy: Untangling the Web

Collaboration: Working Together, Learning Together

Self-Direction: Own Your Learning

Invention: Creating Solutions

 

 

 

 

 

 

 

 

 

 

 

Content Area:  Math

Beaumont ISD

Grade Level: 4th

Revision Date: 06/07/2016

 

3rd Nine Weeks

January 3-March 10

(47 School Days)

42 Instructional days, 5 Test Days

District-Wide Mock STAAR (Writing): January 17 - 20

Mid 9 Weeks Test: January 30 - February 3

District-Wide Mock STAAR (Reading & Math): March 6-10

9 Weeks Test: March 6-10

 

 

4th Nine Weeks

March 20-June 1

(52 School Days)

 46 Instructional Days, 6 Test Days

*STAAR Writing: March 28, 2017

3rd Universal Screening: April 3-14

Mid 9 Weeks Test: April 10-13

*STAAR Math:  May 8

*STAAR Reading:  May 9

9 Weeks Test: May 30-June 1

 

 

Refer to instructional timelines when planning units of instruction.

See list of Ongoing Process TEKS that should be embedded in all Units of Instruction.

ALL Process TEKS are eligible for incorporating into the assessment of at least 40% of Content TEKS.

 

STAAR Standard Key:    Blue= STAAR Readiness Standard

                                             Yellow= STAAR Supporting Standard

                                                        Bold= Highest Stakes TEKS (greatest need)

                       Italics= High Stakes TEKS

 

 

Units

Unit 8: Measurement (14 days)

Finding the Perimeter and Area of Rectangles; Identifying Points, Types of Lines, and Angles; Identifying Relative Sizes of Measurement Units, and Converting Measurements of Time, Length, Capacity, etc..

 

Unit 9: Geometry - Points, Lines, and Angles (11 days)

Identifying Acute, Right, and Obtuse Triangles, Geometric Attributes/Properties, Symmetry, and Two-Dimensional Figures.

 

Unit 10: Geometry - Measuring Angles (14 days)

Illustrate the Measure of an Angle and Determine the Measures of Angles.

Unit 11: Financial Literacy (5 days)

Borrowing/Lending, Cost/Profit, Expenses, Financial Institutions, Savings Plan, Spending/Saving,

Data-Driven STAAR Review (4 days)

TEKS/SEs

Unit 8: Measurement (14 days)

 

4.5(C) Use models to determine the formulas for the perimeter of a rectangle (l+w+l+w or 2l+2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w)

4.5(D) Solve problems related to perimeter and area of rectangles where dimensions are whole numbers

4.6(A) Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines

4.8(A) Identify relative sizes of measurement units within the customary and metric systems

4.8(B) Convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table

4.8(C) Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate

 

Unit 9: Geometry - Points, Lines, and Angles (11 days)

 

4.6(A) Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines

4.6(B) Identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure

4.6(C) Apply knowledge of right angles to identify acute, right, and obtuse triangles

4.6(D) 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

 

Unit 10: Geometry - Measuring Angles (14 days)

 

4.7(A) Illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is “cut out” by the rays of the angle. Angle measures are limited to whole numbers

4.7(B) Illustrate degrees as the units used to measure an angle, where 1/360 of any circle is 1 degree and an angle that “cuts” n/360 out of any circle whose center is at the angle’s vertex has a measure of n degrees. Angle measures are limited to whole numbers

4.7(C) Determine the approximate measures of angles in degrees to the nearest whole number using a protractor

4.7(D) Draw an angle with a given measure

4.7(E) Determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures

 

Unit 11: Financial Literacy (5 days)

 

4.10(A) Distinguish between fixed and variable expenses

4.10(B) Calculate profit in a given situation

4.10(C) Compare the advantages and disadvantages of various savings options

4.10(D) Describe how to allocate weekly allowance among spending, saving, including for college; and sharing

4.10(E) Describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending

 

Data Driven STAAR Review.

Units

Unit 12: Making Connections (19 days)

Represent and Solve Addition and Subtraction of Fractions, Adding and Subtracting Whole Numbers and Decimals, Represent Multi-Step Problems with Strip Diagrams, Use Input and Output Table, Perimeter and Area, Measurements, and Represent Data.

 

Unit 13: Essential Understanding of Fractions (14 days)

Relate Decimals to Fractions,  Sum and Difference of Fractions, Decomposing Fractions, and Equivalent Fractions.

 

Unit 14: Essential Understandings of All Operations  (13 days)

Adding and Subtracting Whole Numbers and Decimals, Interpreting Remainders in One- and Two-Step Problems, and Solve Problems that Deal with Measurement, Financial Literacy.

Data-Driven STAAR Review (2 days)

TEKS/SEs

Unit 12: Making Connections (19 days)

 

4.3(E) Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations

4.4 (A) Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm

4.4(H) Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders

4.5(A) Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity

4.5(B) Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence

4.5(D)Solve problems related to perimeter and area of rectangles where dimensions are whole numbers

4.8(C) Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate

4.9(A) Represent data on a frequency table, dot plot, or stem and-leaf plot marked with whole numbers and fractions

4.9(B) Solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot

 

Unit 13: Essential Understandings of Fractions (14 days)

 

4.2(G) Relate decimals to fractions that name tenths and hundredths

4.3(A) Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b

4.3(B) Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations

4.3(C) Determine if two given fractions are equivalent using a variety of methods

4.3(D) Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <

4.3(E) Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations

4.3(F) Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole

4.3(G) Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line

 

Unit 14: Essential Understandings of All Operations (13 days)

 

4.4(A) Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm

4.4(H) Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders

4.8(C) Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate

4.10(A) Distinguish between fixed and variable expenses

4.10(B) Calculate profit in a given situation

4.10(C) Compare the advantages and disadvantages of various savings options

4.10(D) Describe how to allocate weekly allowance among spending, saving, including for college; and sharing

4.10(E) Describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.

Process Standards:

 

4.1(A) Apply mathematics to problems arising in everyday life, society, and the workplace.

4.1(B) Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

4.1(C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.

4.1(D) Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

4.1(E) Create and use representations to organize, record, and communicate mathematical ideas.

4.1(F) Analyze mathematical relationships to connect and communicate mathematical ideas.

4.1(G) Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

Beaumont  22nd Century Skills

 


Critical Thinking and Reasoning:  Thinking Deeply, Thinking Differently

Information Literacy: Untangling the Web

Collaboration: Working Together, Learning Together

Self-Direction: Own Your Learning

Invention: Creating Solutions