1.  Table of ContentsPage
1.  Front MatterV1 F1
1. Title PageV1 F1
2. Authors, Consultants, ReviewersV1 F3
3. Digital ResourcesV1 F4
4. Family EngagementV1 F5
5. Avatar IntroductionsV1 F6
6. Topic TitlesV1 F7
7. Topic 1 TOCV1 F8
8. Topic 2 TOCV1 F9
9. Topic 3 TOCV1 F10
10. Topic 4 TOCV1 F11
11. Topic 5 TOCV1 F12
12. Topic 6 TOCV1 F13
13. Topic 7 TOCV1 F14
14. Topic 8 TOCV2 F8
15. Topic 9 TOCV2 F9
16. Topic 10 TOCV2 F10
17. Topic 11 TOCV2 F11
18. Topic 12 TOCV2 F12
19. Topic 13 TOCV2 F13
20. Topic 14 TOCV2 F14
21. Florida's B.E.S.T. StandardsV1 F15
22. My Math Thinking and Reasoning HandbookV1 F23
2.  Topic 1: Understand Addition and Subtraction1
1. enVision® STEM Project1
2. Review What You Know2
3. Pick a Project3
4. 3-ACT MATH PREVIEW: Grab a Bite4
6. Lesson 1-2: Put Together9
7. Lesson 1-3: Both Addends Unknown13
8. Lesson 1-4: Take From17
9. Lesson 1-5: Compare Situations21
10. Lesson 1-6: More Compare Situations25
11. Let's Investigate!: Bird Watching29
12. Lesson 1-7: Change Unknown31
13. Lesson 1-8: Practice Adding and Subtracting35
14. Lesson 1-9: Math Thinking and Reasoning: Discuss Math Thinking with Others39
15. Procedural Reliability Review Activity43
16. Vocabulary Review44
17. Reteaching45
18. Assessment Practice49
3.  Topic 2: Add and Subtract with Facts to 1055
1. enVision® STEM Project55
2. Review What You Know56
3. Pick a Project57
4. Lesson 2-1: Count On to Add59
5. Lesson 2-2: Doubles63
6. Lesson 2-3: Near Doubles67
7. Lesson 2-4: Facts with 5 on a Ten-Frame71
8. Lesson 2-5: Add in Any Order75
9. Lesson 2-6: Count Back to Subtract79
10. Let's Investigate!: Scaredy Cats Game83
11. Lesson 2-7: Think Addition to Subtract85
12. Lesson 2-8: Automaticity Practice: Add and Subtract with Facts to 1089
13. Lesson 2-9: Solve Real-World Problems with Facts to 1093
14. Lesson 2-10: Math Thinking and Reasoning: Use Patterns and Structure to Make Connections97
15. Automaticity Activity101
16. Vocabulary Review102
17. Reteaching103
18. Assessment Practice107
4.  Topic 3: Add with Facts to 20113
1. enVision® STEM Project113
2. Review What You Know114
3. Pick a Project115
4. 3-ACT MATH PREVIEW: Go for a Spin116
5. Lesson 3-1: Count On to Add117
6. Lesson 3-2: Doubles121
7. Lesson 3-3: Doubles Plus125
8. Lesson 3-4: Make 10 to Add129
9. Let's Investigate!: Big Celebrations133
10. Lesson 3-5: Continue to Make 10 to Add135
11. Lesson 3-6: Procedural Reliability Practice: Add with Facts to 20: Choose a Method139
12. Lesson 3-7: Solve Real-World Problems with Facts to 20143
13. Lesson 3-8: Math Thinking and Reasoning: Complete Tasks with Mathematical Fluency147
14. Automaticity Activity151
15. Vocabulary Review152
16. Reteaching153
17. Assessment Practice157
5.  Topic 4: Subtract with Facts to 20163
1. enVision® STEM Project163
2. Review What You Know164
3. Pick a Project165
4. Lesson 4-1: Count to Subtract167
5. Lesson 4-2: Make 10 to Subtract171
6. Lesson 4-3: Continue to Make 10 to Subtract175
7. Let's Investigate!: Sneaky Squirrels179
8. Lesson 4-4: Relate Addition and Subtraction181
9. Lesson 4-5: Use Addition to Subtract185
10. Lesson 4-6: Procedural Reliability Practice: Subtract with Facts to 20: Choose a Method189
11. Lesson 4-7: Solve More Real-World Problems with Facts to 20193
12. Lesson 4-8: Math Thinking and Reasoning: Complete Tasks with Mathematical Fluency197
13. Procedural Reliability Activity201
14. Vocabulary Review202
15. Reteaching203
16. Assessment Practice207
6.  Topic 5: Understand the Meaning of the Equal Sign213
1. enVision® STEM Project213
2. Review What You Know214
3. Pick a Project215
4. 3-ACT MATH PREVIEW: Weighed Down216
5. Lesson 5-1: Find the Unknown Numbers217
6. Lesson 5-2: True or False Equations221
7. Let's Investigate!: True or False225
8. Lesson 5-3: Explain Why Equations Are True or False227
9. Lesson 5-4: Add Three or More Numbers231
10. Lesson 5-5: Word Problems with Three or More Addends235
11. Lesson 5-6: Solve Addition and Subtraction Word Problems239
12. Lesson 5-7: Math Thinking and Reasoning: Represent Problems in Multiple Ways243
13. Procedural Reliability Activity247
14. Vocabulary Review248
15. Reteaching249
16. Assessment Practice251
7.  Topic 6: Collect, Represent, and Interpret Data255
1. enVision® STEM Project255
2. Review What You Know256
3. Pick a Project257
4. Lesson 6-1: Organize Data259
5. Lesson 6-2: Collect and Represent Data263
6. Let's Investigate!: Birth Month Data267
7. Lesson 6-3: Interpret Data269
8. Lesson 6-4: Continue to Interpret Data273
9. Lesson 6-5: Math Thinking and Reasoning: Apply Math to Real-World Contexts277
10. Procedural Reliability Activity281
11. Vocabulary Review282
12. Reteaching283
13. Assessment Practice285
8.  Topic 7: Extend the Counting Sequence289
1. enVision® STEM Project289
2. Review What You Know290
3. Pick a Project291
4. 3-ACT MATH PREVIEW: Super Selfie292
5. Lesson 7-1: Count by 1s to 120293
6. Lesson 7-2: Count on a Number Chart to 120297
7. Lesson 7-3: Count Backward by 1s301
8. Let's Investigate!: Funny Uncle Fred305
9. Lesson 7-4: Count by 2s307
10. Lesson 7-5: Count by 5s311
11. Lesson 7-6: Count and Write Numerals315
12. Lesson 7-7: Math Thinking and Reasoning: Use Patterns and Structure to Make Connections319
13. Procedural Reliability Activity323
14. Vocabulary Review324
15. Reteaching325
16. Assessment Practice327
9.  Topic 8: Understand Place Value331
1. enVision® STEM Project331
2. Review What You Know332
3. Pick a Project333
4. Lesson 8-1: Make Numbers 11 to 19335
5. Lesson 8-2: Numbers Made with Tens339
6. Lesson 8-3: Count with Groups of Tens and Ones343
7. Lesson 8-4: Tens and Ones347
8. Let's Investigate!: Robot Names351
9. Lesson 8-5: Continue with Tens and Ones353
10. Lesson 8-6: Read and Write 2-Digit Numbers357
11. Lesson 8-7: Different Ways to Model the Same Number361
12. Lesson 8-8: Math Thinking and Reasoning: Use Patterns and Structure to Make Connections365
13. Procedural Reliability Activity369
14. Vocabulary Review370
15. Reteaching371
16. Assessment Practice375
10.  Topic 9: Plot, Order, and Compare Two-Digit Numbers381
1. enVision® STEM Project381
2. Review What You Know382
3. Pick a Project383
4. 3-ACT MATH PREVIEW: Digit Flip384
5. Lesson 9-1: 1 More, 1 Less and 10 More, 10 Less385
6. Lesson 9-2: Find Numbers on a Hundred Chart389
7. Lesson 9-3: Compare Numbers393
8. Let's Investigate!: Which Is Greater?397
9. Lesson 9-4: Compare Numbers with Symbols (>, <, =)399
10. Lesson 9-5: Plot Numbers on a Number Line403
11. Lesson 9-6: Compare and Order Numbers Using a Number Line407
12. Lesson 9-7: Math Thinking and Reasoning: Participate in Effortful Learning411
13. Procedural Reliability Activity415
14. Vocabulary Review416
15. Reteaching417
16. Assessment Practice419
11.  Topic 10: Add and Subtract with Numbers to 100423
1. enVision® STEM Project423
2. Review What You Know424
3. Pick a Project425
4. Let's Investigate!: Fill the Car427
5. Lesson 10-1: Add Tens and Ones Using a Hundred Chart429
6. Lesson 10-2: Make a Ten to Add: Use Models433
7. Lesson 10-3: Add Tens and Ones Using a Number Line437
8. Lesson 10-4: Add Using Place Value Models and Drawings441
9. Lesson 10-5: Subtract Tens and Ones Using a Hundred Chart445
10. Lesson 10-6: Break Apart Numbers to Subtract: Use Models449
11. Lesson 10-7: Subtract Tens and Ones: Count Back Using a Number Line453
12. Lesson 10-8: Subtract Tens and Ones: Count On Using a Number Line457
13. Lesson 10-9: Subtract Using Place-Value Models and Drawings461
14. Lesson 10-10: Math Thinking and Reasoning: Assess the Reasonableness of Solutions465
15. Procedural Reliability Activity469
16. Vocabulary Review470
17. Reteaching471
18. Assessment Practice475
12.  Topic 11: Compare and Measure Lengths481
1. enVision® STEM Project481
2. Review What You Know482
3. Pick a Project483
4. 3-ACT MATH PREVIEW: Hat Trick484
5. Lesson 11-1: Compare and Order by Length485
6. Lesson 11-2: Indirect Measurement489
7. Lesson 11-3: Use a Ruler to Measure with Inches493
8. Let's Investigate!: Estimation I Spy497
9. Lesson 11-4: Estimate with Inches499
10. Lesson 11-5: Use a Ruler to Measure with Centimeters503
11. Lesson 11-6: Math Thinking and Reasoning: Apply Math to Real-World Contexts507
12. Procedural Reliability Activity511
13. Vocabulary Review512
14. Reteaching513
15. Assessment Practice515
13.  Topic 12: Time and Money519
1. enVision® STEM Project519
2. Review What You Know520
3. Pick a Project521
4. Lesson 12-1: Tell the Value of Coins523
5. Lesson 12-2: Find the Value of a Group of Coins527
6. Lesson 12-3: Tell the Value of Bills531
7. Let's Investigate!: Sharing Money535
8. Lesson 12-4: Find the Value of a Group of Bills537
9. Lesson 12-5: Math Thinking and Reasoning: Assess the Reasonableness of Solutions541
10. Lesson 12-6: Understand the Hour and Minute Hands545
11. Lesson 12-7: Tell and Write Time to the Hour549
12. Lesson 12-8: Tell and Write Time to the Half Hour553
13. Procedural Reliability Activity557
14. Vocabulary Review558
15. Reteaching559
16. Assessment Practice563
14.  Topic 13: Identify and Analyze Two-Dimensional (2-D) and Three-Dimensional (3-D) Figures569
1. enVision® STEM Project569
2. Review What You Know570
3. Pick a Project571
4. 3-ACT MATH PREVIEW: Drip Dry572
5. Let's Investigate!: Animal Cards573
6. Lesson 13-1: Use Attributes to Define Two-Dimensional (2-D) Figures575
7. Lesson 13-2: Defining and Non-Defining Attributes of 2-D Figures579
8. Lesson 13-3: Sketch 2-D Figures by Attributes583
9. Lesson 13-4: Compose 2-D Figures587
10. Lesson 13-5: Identify 2-D Figures in Real-World Objects591
11. Lesson 13-6: Sort Geometric Figures595
12. Lesson 13-7: Use Attributes to Define Three-Dimensional (3-D) Figures599
13. Lesson 13-8: Defining and Non-Defining Attributes of 3-D Figures603
14. Lesson 13-9: Compose with 3-D Figures607
15. Lesson 13-10: Math Thinking and Reasoning: Participate in Effortful Learning611
16. Procedural Reliability Activity615
17. Vocabulary Review616
18. Reteaching617
19. Assessment Practice621
15.  Topic 14: Understand Fractions: Partition Shapes into Halves and Fourths627
1. enVision® STEM Project627
2. Review What You Know628
3. Pick a Project629
4. Lesson 14-1: Make Equal Parts631
5. Let's Investigate!: Four-Color Flags635
6. Lesson 14-2: Make Halves and Fourths of Rectangles and Circles637
7. Lesson 14-3: Understand Halves and Fourths641
8. Lesson 14-4: Math Thinking and Reasoning: Represent Problems in Multiple Ways645
9. Procedural Reliability Activity649
10. Vocabulary Review650
11. Reteaching651
12. Assessment Practice653
16.  End MatterG1
1. GlossaryG1
2.  Standards Alignment of enVision Florida B.E.S.T. Mathematics ©2023, Grade 1 to Florida’s B.E.S.T Standards (Course 5012030)Page
1.  Algebraic Reasoning
1. MA.1.AR.1.1: Apply properties of addition to find a sum of three or more whole numbers.
2. MA.1.AR.1.2: Solve addition and subtraction real-world problems using objects, drawings or equations to represent the problem.
3. MA.1.AR.2.1: Restate a subtraction problem as a missing addend problem using the relationship between addition and subtraction.
4. MA.1.AR.2.2: Determine and explain if equations involving addition or subtraction are true or false.
5. MA.1.AR.2.3: Determine the unknown whole number in an addition or subtraction equation, relating three whole numbers, with the unknown in any position.
2.  Data Analysis and Probability
1. MA.1.DP.1.1: Collect data into categories and represent the results using tally marks or pictographs.
2. MA.1.DP.1.2: Interpret data represented with tally marks or pictographs by calculating the total number of data points and comparing the totals of different categories.
3.  Fractions
1. MA.1.FR.1.1: Partition circles and rectangles into two and four equal-sized parts. Name the parts of the whole using appropriate language including halves or fourths.
4.  Geometric Reasoning
1. MA.1.GR.1.1: Identify, compare and sort two- and three-dimensional figures based on their defining attributes. Figures are limited to circles, semi-circles, triangles, rectangles, squares, trapezoids, hexagons, spheres, cubes, rectangular prisms, cones and cylinders.
2. MA.1.GR.1.2: Sketch two-dimensional figures when given defining attributes. Figures are limited to triangles, rectangles, squares and hexagons.
3. MA.1.GR.1.3: Compose and decompose two- and three-dimensional figures. Figures are limited to semi-circles, triangles, rectangles, squares, trapezoids, hexagons, cubes, rectangular prisms, cones and cylinders.
4. MA.1.GR.1.4: Given a real-world object, identify parts that are modeled by two- and three-dimensional figures. Figures are limited to semi-circles, triangles, rectangles, squares and hexagons, spheres, cubes, rectangular prisms, cones and cylinders.
5.  Measurement
1. MA.1.M.1.1: Estimate the length of an object to the nearest inch. Measure the length of an object to the nearest inch or centimeter.
2. MA.1.M.1.2: Compare and order the length of up to three objects using direct and indirect comparison.
3. MA.1.M.2.1: Using analog and digital clocks, tell and write time in hours and half-hours.
4. MA.1.M.2.2: Identify pennies, nickels, dimes and quarters, and express their values using the ¢ symbol. State how many of each coin equal a dollar.
5. MA.1.M.2.3: Find the value of combinations of pennies, nickels and dimes up to one dollar, and the value of combinations of one, five and ten dollar bills up to \$100. Use the ¢ and \$ symbols appropriately.
6.  Number Sense and Operations
1. MA.1.NSO.1.1: Starting at a given number, count forward and backwards within 120 by ones. Skip count by 2s to 20 and by 5s to 100.
2. MA.1.NSO.1.2: Read numbers from 0 to 100 written in standard form, expanded form and word form. Write numbers from 0 to 100 using standard form and expanded form.
3. MA.1.NSO.1.3: Compose and decompose two-digit numbers in multiple ways using tens and ones. Demonstrate each composition or decomposition with objects, drawings and expressions or equations.
4. MA.1.NSO.1.4: Plot, order and compare whole numbers up to 100.
5. MA.1.NSO.2.1: Recall addition facts with sums to 10 and related subtraction facts with automaticity.
6. MA.1.NSO.2.2: Add two whole numbers with sums from 0 to 20, and subtract using related facts with procedural reliability.
7. MA.1.NSO.2.3: Identify the number that is one more, one less, ten more and ten less than a given two-digit number.
8. MA.1.NSO.2.4: Explore the addition of a two-digit number and a one-digit number with sums to 100.
9. MA.1.NSO.2.5: Explore subtraction of a one-digit number from a two-digit number.
7.  Mathematical Thinking and Reasoning
1.  MA.K12.MTR.1.1: Mathematicians who participate in effortful learning both individually and with others:
1. • Analyze the problem in a way that makes sense given the task.
• Build perseverance by modifying methods as needed while solving a challenging task.
• Stay engaged and maintain a positive mindset when working to solve tasks.
• Help and support each other when attempting a new method or approach.
2.  MA.K12.MTR.2.1: Demonstrate understanding by representing problems in multiple ways. Mathematicians who demonstrate understanding by representing problems in multiple ways:
1. • Build understanding through modeling and using manipulatives.
• Represent solutions to problems in multiple ways using objects, drawings, tables, graphs and equations.
• Progress from modeling problems with objects and drawings to using algorithms and equations.
• Express connections between concepts and representations.
• Choose a representation based on the given context or purpose.
3.  MA.K12.MTR.3.1: Complete tasks with mathematical fluency. Mathematicians who complete tasks with mathematical fluency:
1. • Select efficient and appropriate methods for solving problems within the given context.
• Maintain flexibility and accuracy while performing procedures and mental calculations.
• Complete tasks accurately and with confidence.
• Adapt procedures to apply them to a new context.
• Use feedback to improve efficiency when performing calculations.
4.  MA.K12.MTR.4.1: Engage in discussions that reflect on the mathematical thinking of self and others. Mathematicians who engage in discussions that reflect on the mathematical thinking of self and others:
1. • Communicate mathematical ideas, vocabulary and methods effectively.
• Analyze the mathematical thinking of others.
• Compare the efficiency of a method to those expressed by others.
• Recognize errors and suggest how to correctly solve the task.
• Justify results by explaining methods and processes.
• Construct possible arguments based on evidence.
5.  MA.K12.MTR.5.1: Use patterns and structure to help understand and connect mathematical concepts. Mathematicians who use patterns and structure to help understand and connect mathematical concepts:
1. • Focus on relevant details within a problem.
• Create plans and procedures to logically order events, steps or ideas to solve problems.
• Decompose a complex problem into manageable parts.
• Relate previously learned concepts to new concepts.
• Look for similarities among problems.
• Connect solutions of problems to more complicated large-scale situations.
6.  MA.K12.MTR.6.1: Assess the reasonableness of solutions. Mathematicians who assess the reasonableness of solutions:
1. • Estimate to discover possible solutions.
• Use benchmark quantities to determine if a solution makes sense.
• Check calculations when solving problems.
• Verify possible solutions by explaining the methods used.
• Evaluate results based on the given context.
7.  MA.K12.MTR.7.1: Apply mathematics to real-world contexts. Mathematicians who apply mathematics to real-world contexts:
1. • Connect mathematical concepts to everyday experiences.
• Use models and methods to understand, represent and solve problems.
• Perform investigations to gather data or determine if a method is appropriate.
• Redesign models and methods to improve accuracy or efficiency.
8.  ELA Expectations
1. ELA.K12.EE.1.1: Cite evidence to explain and justify reasoning.
9.  English Language Learners