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Place Value, Addition, and Subtraction Big Idea: The position of a digit determines its value + & - of multi digit #’s is based on basic facts and base 10 and place value concepts Lessons: SF: Pages 4-5 Date: NS 1.0 SF: Pages 10-12 NS 1.1 NS 1.1 SF: Pages 16-18 (only whole numbers) SF: Pages 52-54 NS 1.0 SF: Pages 60-63 NS 1.0 SF: Pages 52-54 NS 1.2 SF: Pages 55-57 (only addition and subtraction) 9/2—9/9/13 Standard: NS 1.0 Objective: Read and write whole numbers to billions Use place value and number lines to compare and order whole numbers Round whole numbers to a given place value. Use rounding to estimate sums and differences. Add and subtract whole numbers. Use mental math to add or subtract. Write and evaluate addition and subtraction expressions. Essential Question: What is the value of each digit in 6,534,703,115? How can you place value to compare and order whole numbers? When would you round whole numbers? What ways can you estimate sums and differences? Where do you start when adding or subtracting whole numbers? What mental math strategies can you use to add or subtract whole numbers? How do you evaluate expressions with variables? Quiz on previously taught concepts Place value: Understand Decimals NS 1.0 SF: Pages 8-9 NS 1.0 SF: Pages 10-12 NS 1.0 SF: Pages 10-12 and 16-18 9/16-9/27 Big Idea: The place values to the right of the decimal point in the base ten system name numbers less than one. Read and write decimals through hundredths. Use models to understand, read, and write decimals to thousandths. Identify and write equivalent decimals. What is the value of 3 in 21.53? How can I use patterns in place value to understand decimals? How can models help you see equivalent decimals? NS 1.2 NS 1.5 Students must understand that 0.4 = 0.4000 etc. SF: Pages 272-273 SF: Pages 10-12 (only decimals) Understand and write decimals as fractions and mixed numbers with tenths and hundredths. Use models and place value to compare and order decimals. Quiz on previously taught concepts What operations are used to change 3/10 to 30/100? What methods can you use to compare and order decimals? Multiply Whole Numbers NS 1.1 SF: Pages 134-136 NS 1.1 SF: Pages 138-139 AF 1.3 SF: Pages 126-127 & 128-129 NS 1.0 SF: Pages 140-142 (One Digit numbers only) SF: Pages 140-142 (Two digit numbers only) SF: Pages 140-142 & 146-147 NS 1.0 NS 1.0 9/30-10/11 Big Idea: Multiplication of multi-digit whole numbers is based on place value and the basic multiplication facts. Multiply basic facts with multiples of 10 using mental math and patterns of zero. Estimate products by rounding and using the expanded form of numbers. Model multiplication using the distributive property. Multiply by 1 digit number. Multiply by a 2 digit number. Practice multiplication by 1 and 2 digit numbers. How can basic facts with multiples of 10 using mental math and patterns of zero help you find products? When would each method of estimating products be used? How do you use the distributive property to multiply? What methods do you have to multiply. How are the two methods to multiply similar? How is multiplying a 2 digit number different than multiplying by a 1 digit number? Quiz on previously taught concepts Divide by 1 and 2 digit divisors NS 1.1 SF: 170-171 NS 2.2 NS 2.2 SF: Pages 172-174 (One digit numbers only) SF: Pages 168-169 NS 1.1 SF: Pages 168-169 & 170-171 NS 2.2 SF: Pages 172-174 (Two digit numbers only) & Pages 178179 & 182-183 SF: Pages 172-174, 178-179, 182-183, & 184-186 SF: Pages 130-131 & 196-197 NS 2.2 AF 1.2 10/14-10/25 Big Idea: Division of multi digit #’s by a 1 or 2 digit divisor is based on place value and the basic multiplication and division facts. Estimate quotients by using compatible numbers and rounding. Divide by 1 digit divisors Use patterns to divide. Estimate quotients using compatible numbers. Divide by 2 digit numbers. Practice division by 1 and 2 digit divisors. Write and evaluate expressions. Quiz on previously taught concepts How can you use compatible numbers to estimate quotients? What is the algorithm for division? What kinds of patterns do you see in division? Why do you need to know compatible numbers to estimate? How is the algorithm expanded for dividing by 2 digit divisors? What are the steps to divide whole numbers? How do you evaluate expressions? Number Theory NS 1.4 NS 1.3 SF: Pages 258-259 & Pages 260-262 & Pages 264-265 & Pages 266-267 SF: Pages 148-149 NS 1.3 SF: Pages 260-262 NS 1.4 SF: Pages 260-262 10/28-11/8 Big Idea: The study of number theory builds understanding of factors, exponents, and prime and composite numbers. Identify factors and tell whether a number is a prime or composite. Write and evaluate powers of 10. Write and evaluate repeated factors in exponent form and identify square numbers. Find and write prime factorization of a number using exponents. How are prime and composite numbers related? What is an exponent? Square numbers are related to what exponent? How can you find the prime factorization of a number? Quiz on previously taught concepts. Math Qtr. 1 Review week of 11/11-11/15 Test on 11/15 Fraction Concepts NS 1.5 SF: Pages 274275 NS 2.3 SF: Page 276-277 NS 1.5 SF: Pages 282-283 NS 1.0 SF: Pages 278-279 & 284-286 NS 1..2 SF: Pages 272-273 NS 1.5 11/18-12/6 Big Idea: Fractions and mixed numbers can be expressed in equivalent forms and can be compared and ordered. Identify and write equivalent fractions. Write fractions in simplest form. Rename fractions > than 1 as mixed numbers and mixed numbers as fractions as > than 1. Compare and order fractions and mixed numbers. Relate fractions and decimals that name tenths, hundredths, and thousandth. SF: Pages 10-12 & Pages 284Identify, represent, and order 286 decimals, fractions, and mixed numbers on a number line. Quiz on previously taught concepts What does it mean for two fractions to be equivalent? How do you know a fraction is in simplest form? How are fractions, whole numbers, and mixed numbers related? How does comparing fractions help you order fractions? What models help you relate decimals and fractions? How does a number line help you relate fractions and decimals? Add and subtract like fractions NS 2.3 NS 2.3 SF: Pages 308-310 & Pages 311-313 (Only fractions) SF: Pages 308-310 & Pages 311-313 (Only fractions) 12/91/10 Big Idea: Addition and subtraction of like fractions are based on understanding equivalent fractions. Model addition and subtraction of like fractions. Add and subtract like fractions. How do fraction bars model addition and subtraction? How do you add and subtract like fractions? NS 2.3 NS 2.3 SF: Pages 308-310 & Pages 311-313 (Only mixed numbers) SF: Pages 308-310 & Pages 311-313 (Only mixed numbers) Add and subtract like mixed numbers. How do you add and subtract like mixed numbers? Subtract mixed numbers with renaming. When do you need to rename fractions? Quiz on previously taught concepts NS 2.3 SF: Pages 134-136 NS 2.3 SF: Pages 134-136 NS 1.1 SF: Pages 316-317 NS 2.3 SF: Pages 318-319 & Pages 320-321 NS 2.3 SF: Pages 318-319 & Pages 320-321 1/13-1/17 Add and subtract unlike fractions Use a basic fact and pattern to multiply mentally by multiples of 10, 100, and 1,000. Multiply 2 digit numbers by multiples of 10. Estimate products by rounding factors and compatible numbers then finding the product mentally. Use a common denominator to add and subtract unlike fractions. Use the least common denominator to add and subtract fractions. Quiz on previously taught concepts What are some multiplication patterns? What is different when multiplying by tens, versus multiplying by ones? How do basic multiplication facts help to estimate products? How does using a least common denominator differ from using any common denominators? How do you use the least common denominator to find sums and differences? Add and subtract mixed numbers NS 2.3 SF: Pages 322-323 1/1 31/1 7 Big Idea: Addition and subtraction of mixed numbers are based on understanding of equivalent fractions Model addition of mixed numbers. How do you add mixed numbers using fraction bars? NS 2.3 SF: Pages 324-326 NS 2.3 SF: Pages 322-323 & Pages 324-326 NS 2.3 SF: Pages 324-326 Model subtraction of mixed numbers. Find the sums and differences of mixed numbers. Model subtraction of mixed numbers by using renaming. Quiz on previously taught concepts Find the sums and differences of mixed numbers? What ways can you find the sum and difference of mixed numbers? How does renaming fractions extend to mixed numbers? Multiply and Divide Fractions Big Idea: Multiplication of fractions involves finding part of a part of the whole; division of fractions is related to repeated subtraction and can be shown with models. SF: Pages 330-332 NS 2.4 SF: Pages 330-332 NS 2.4 SF: Pages 336-337 (Only multiplication) NS 2.4 SF: Pages 336-337 NS 2.4 SF: Pages 334-335 NS 2.4 SF: Pages 334-335 Use models to multiply fractions. Solve problems by multiplying fractions. 1/20-1/31 NS 2.4 Solve problems by multiplying fractions and whole numbers. Multiply two mixed numbers. Model fraction division. Divide with fractions. Quiz on previously taught concepts Add and subtract decimals How do you multiply fractions using a model? How does multiplying fractions using paper and pencil relate to using a model? How do you multiply fractions and whole numbers? What previously learned fraction and mixed number strategies help find products? How is the concept of division modeled with fractions? What ways can you divide fractions? Big Idea: Addition and subtraction of decimals are based on place value and addition and subtraction with whole numbers. SF: Pages 8-9 & Pages 10-12 & Pages 16-18 Round decimals to a given place value. NS 2.1 SF: Pages 63-65 Find the sums and differences of decimals. NS 2.1 SF: Pages 63-65 & Pages 6667 NS 2.0 SF: Pages 63-65 & Pages 6667 2/3-2/27 NS 1.1 Using rounding to estimate sums and differences of decimals. Use mental math to add and subtract decimals. How is rounding decimals like or different from rounding whole numbers? How is adding and subtracting decimals like or different than adding and subtracting whole numbers? What are different ways to estimate? What steps do you take to find the sums and differences mentally? Quiz on previously taught concepts. Multiply Decimals Big Idea: Multiplication of decimals is based on place value and multiplication with whole numbers. SF: Pages 216-217 NS 2.1 SF: Pages 214-215 NS 2.1 SF: Pages 222-224 NS 1.1 SF: Pages 218-219 NS 2.1 SF: Pages 222-225 NS 2.1 SF: Pages 226-227 Use models to multiply whole numbers and decimals. 2/10-2/14 NS 2.1 Use patterns in decimals factors to find products. Model multiplication of decimals. Estimate products of decimals. Place the decimals point in multiplications. Multiply decimals with zero in the product. How is multiplying with decimals like or different from multiplying whole numbers? How do patterns help find products with decimals? How do the models show multiplication of decimals? What ways can you estimate decimals? What ways can you place the decimal point? Which method of placing the decimal is necessary when multiplying with zeros? Quiz on previously taught concepts. Divide Decimals Big Idea: Division of decimals by whole numbers and by decimals is based on the place value and division and multiplication with whole numbers. NS 2.2 SF: Pages 232-234 NS 1.1 NS 2.2 SF: Pages 230-231 SF: Pages 235-237 NS 2.1 SF: Pages 235-237 NS 2.1 SF: Pages 230-231 2/17-2/21 Use models to divide decimals by whole numbers. Estimate decimals quotients. Divide decimals by whole numbers. Use models to divide decimals by decimals. Find patterns in division of decimals. Quiz on previously taught concepts. Math Qtr. 2 Week of 2/24-2/28 How do I divide decimals? How do I divide decimals? How do I divide decimals by whole numbers? How do I divide decimals? How do I divide decimals? Algebra expressions and equations AF 1.2 SF: Pages 44-45 & Pages 4647 & Pages 55-57 AF 1.2 SF: Pages 58-59 AF 1.2 SF: Pages 44-45 & Pages 4647 & Pages 55-57 & Pages 5859 SF: Pages 126-127 & Pages 128-129 AF 1.3 NS 1.0 SF: Pages 132-133 & Pages 134-136 3/3-3/7 Big Idea: Properties and the concepts of algebra are used to evaluate expressions and solve equations for all four operations. Write numerical and algebraic expressions for word expressions. Write equations for word problems. Write and solve equations. What are the components of an expression? Use the distributive property in equations and expressions with variables. Use the properties and mental math to solve problems. How can you demonstrate the distributive property/ What relationship do equations show? What tools can you use to solve equations? How do the properties help to answer questions? Quiz on previously taught concepts. Algebra: Integers NS 1.5 SF: Pages 360-361 NS 1.5 SF: Pages 362-363 NS 2.1 SF: Pages 364-365 NS 2.1 SF: Pages 364-365 NS 1.5 SF: Pages 366-368 NS 2.1 SF: Pages 366-368 3/10-3/14 Identify and represent integers, their opposites, and their absolute values. Identify, compare, and order integers. Use counters and number lines to model the addition of integers. Find and record the sum of integers. Use counters and number lines to model the subtraction of integers. Find and record the difference of integers? How are integers related to whole numbers? How do you compare and order integers? How is adding integers like adding and subtracting whole numbers? How would you add -15 + 13? How is subtracting integers like adding and subtracting whole numbers? How is subtracting integers like adding and subtracting whole numbers? Quiz on previously taught concepts. Percent NS 1.2 SF: Pages 512-513 NS 1.2 SF: Pages 516-517 NS 1.5 NS 1.2 SF: Pages 518-519 3/17-3/21 Big Idea: Percents can be expressed as fractions and decimals. Model, read, and write percents. Write equivalent forms of fractions, decimals, and percents. Identify, represent, and order fractions, decimals, and percents on a number line. Use a model to find the percent of a number. How do you model percents? How do fractions, decimals, and percents relate to each other? What form do fractions, decimals, and percentages need to be in order to compare and order them on a number line? How do you model percent of a number? NS 1.2 SF: Page 516-517 SDAP 1.3 SF: Pages 192-193 (as examples) Solve three types of percents problems. Compare data sets of different sizes using percents. Quiz on previously taught concepts. What ways can you solve percent problems? How do you compare data sets of different sizes? Geometric Figures MG 2.1 SF: Pages 402-404 MG 2.1 SF: Pages 405-407 MG 2.1 SF: Pages 418-420 MG 2.0 SF: Pages 408-410 MG 2.2 3/24-4/11 Big Idea: Points, lines, planes, and their classifications and relationships are the building blocks of geometry: two-dimensional figures can be classified according to their geometric properties. Identify and use the concepts of line, point, and angles. Estimate, measure, and draw angles. Draw parallel and perpendicular lines. Identify, classify, and draw polygons. SF: Pages 418-420 & Pages Find the sum of angles in 421-423 triangles and in quadrilaterals. Quiz on previously taught concepts. How are points, lines, and angles related? Is a protractor needed both to estimate and measure angles? How is each tool used to construct parallel and perpendicular lines? How do you classify and draw various polygons? What relationship among polygons can be seen? Plane and solid figures Big Idea: Two and three dimensional figures can be classified according to their geometric properties. MG 2.2 SF: Pages 414-416 MG 2.2 SF: Pages 408-410 & Pages 418-420 3/24-4/11 Identify, describe, and classify types of triangles. Identify, describe, and classify quadrilaterals. What two aspects of a triangle are used for classification? What qualities are quadrilaterals classified by? MG 2.1 MG 2.0 SF: Pages 408-410 & Pages 418-420 SF: Pages 434-437 Draw and identify triangles and quadrilaterals. Identify and make nets for solid figures. What tools are used to draw triangles and quadrilaterals? How are plane figures used to identify nets for solid figures? Quiz on previously taught concepts Geometry and Coordinate Plane Big Idea: The Coordinate plane can be used to graph functions and equations. SDAP 1.5 SF: Pages 91-93 & Pages 9495 & Pages 374-376 SDAP 1.5 SF: Pages 98-101 & Pages 102-103 SF: Pages 378-379 & Pages 380-381 & Pages 382-383 & Pages 384-385 SF: Pages 378-379 & Pages 380-381 & Pages 382-383 & Pages 384-385 SF: Pages 378-379 & Pages 380-381 & Pages 382-383 & Pages 384-385 AF 1.4 AF 1.5 AF 1.5 3/24-4/11 Use ordered pairs to graph and identify points on a coordinate grid. Graph relationships from input-output tables. Identify and graph integers on the coordinate plane. How can you express the relationship of one number to another? How can you graph equations on a coordinate plane? How can you identify points on a coordinate plane? Solve linear functions with integer values. How can you use functions to solve equations? Write and graph equations on a coordinate plane. How can you graph equations on a coordinate plane? Quiz on previously taught concepts Area MG 1.0 SF: Pages 475-477 MG 1.4 SF: Pages 475-477 MG 1.4 SF: Pages 472-474 3/244/11 Big Idea: Attributes of two dimensional figures can be measured. Estimate the area of regular and irregular figures. Find the area of squares and rectangles by using formulas. Identify how perimeter and area are related. How do you estimate irregularly shaped objects? How are the area formulas for squares and rectangles related? How are perimeter and area related in figures? MG 1.1 SF: Pages 475-477 Model area of triangles. MG 1.1 SF: Pages 475-477 Find the area of triangles by using a formula. MG 1.1 SF: Pages 475-477 Find the area of parallelograms. How is the area of a triangle related to the area of a rectangle? When finding the area of a triangle, where will the height be found? How is the area of a parallelogram related to the area of other figures? Surface Area and Volume SF: Pages 482-483 MG 1.3 SF: Pages 478-480 MG 1.3 SF: Pages 478-480 MG 1.4 SF: Pages 478-480 3/24-4/11 Big Idea: Attributes of three dimensional figures can be measured. MG 1.2 Find the surface area of a rectangular and triangular prism. Estimate the volume of a rectangular prism. Find the volume of a rectangular prism. Identify the appropriate unites of measure for perimeter, area, and volume. Qtr. 3 Test on April 11 What do you use to find the surface area of rectangular and triangular prisms? What do you use to estimate the volume of a rectangular prism? What do you use to find the volume of a rectangular prism? How can units tell you what was measured?