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Guided Math in 1st Grade

Guided Math in Primary Classrooms 

The Daily 3 and Guided Math are a small-group approach to learning mathematics, just like we meet with students daily during Guided Reading, we meet with students as mathematicians. It is a deviation from whole-group math instruction.

Guided Math FB Images

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As a team, we decided to take the Guided Math jump – modeling our math block after our reading block and the transformation was AMAZING! For the first time, I felt like I knew my students as mathematicians like I knew them as readers. If a parent, teacher, or administrator asked me about math, I could go on and on. Meeting daily my my friends allow me to push harder and for our learning to go deeper.How do you organize your math block?

Guided Math Question- What Long Is Your Math Block?

Using a Guided Math format there is still time for whole-group, but you invest your efforts and resources into meeting with small-groups of students each day. Teaching 1st grade for the first time, I was using whole-group math with a single math center at the end of our math block. Then over Winter Break, our team felt like something wasn’t working. While our students were growing in math, it was definitely not at the same rate of their reading growth. So, we started to compare the 2 blocks. For reading, we use a Daily 5 model, so 80% of my instruction was in small groups during guided reading. Rather, in math, 80% of my instruction was whole group with enough time for a math center 3-4 times a week.

With small-group math, our math block does take a little longer (around 75-90 minutes), but it is completely worth it! Our math routine looks like this – Number Talksir?t=thebrobagtea 20&l=as2&o=1&a=1935099655 (5-7 minutes), 3 Rotations of Small Groups/Technology/Centers (17-20 minutes/each), Reflection (5 minutes).

How do you group students?

Based on our District’s Common  Assessments, I group students into three math groups – green (approaching grade level), yellow (on grade level), blue (above grade level). This is the system our 1st grade team uses for reading and math and it’s fabulous! (Read more here) I always start meeting with my green group first to ensure that they are never skipped – regardless of surprise fire alarms, change in schedule, or assemblies. Additionally, I try to add 4-5 minutes of instructional time onto this group. (Grab a free editable version of this rotation board here). Every unit, these group changes change and I don’t always have one of each group. By the end of last year, I actually had 2 blue groups and 1 yellow group, which was REALLY exciting!

Guided math grouping

What Do You Teach in Small Group?

When planning and organizing for small-group math, I use color-coded library bins – one for each of my math groups. Often the manipulatives travel from bin-to-bin, but the assessments and mini-lesson materials are group-dependent. I love having my materials at an arm’s reach, and it’s easy to restock them at the end of the day.

Typically each of my groups are working on the same skill or content standard, but each group is working with the material in different, just-right ways. As math teachers, we intentionally move students using the CSA model of instruction (concrete, semi-concrete, and abstract). My highest group (blue) spends a lot more time working with the abstract; whereas my green group needs many more concrete experiences with the content.

Planning for Small Groups

Within my small-groups we are working on targeted, hands-on skills. We are trying to build concrete learning experiences that eventually branch into semi-concrete and abstract understanding. From composing and decomposing numbers on rekenreks to balancing equations on a number scale to master part-part-whole with rods, we are using manipulatives every.single.day.

Guided math activities

I’ll be honest, it’s definitely messy. My teacher table routinely looks like this – piles of place value rods, ten frames, and number lines strewn about…but that’s okay! We accomplish so much in our 17-20 minutes together, and I am loving teaching targeted skills to my small groups. For my classroom and my group of kids, guided-math is the answer!

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What does a Math Block Look Like?

To launch each Guided Math block, we start by talking numbers using our Math Prompts. These are short (10ish minutes), daily exercises aimed at building number sense. While we are talking numbers, students are thinking, asking their peers questions, and explaining their own thinking all while the teacher records the thinking. You can read more about our Number Talks here and snag a year’s worth of Number Talks here.

Talking Numbers

Guided Math Activity- Whole Group Mini-Lessons

After our number talks, we stay on our classroom carpet to say our learning target for the day. Then, I lead a quick 7-8 minute mini-lesson. During these mini-lessons, I focus our small-group time, share important vocabulary, model math thinking, and introduce foundation knowledge (things that ALL students need to know, regardless of math group). Some of my favorite mini-lessons include photograph hooks and online math manipuatives. We also routinely pull out some of our favorite math read alouds! All three are great for modeling math thinking for students!

Guided math, Math mentor texts are the perfect 'hook' for math mini-lessons. These 5 read alouds are just-right for fostering strong number sense in primary learners.

Guided Math Activity- Teacher Table

When students come to my teacher table, I don’t want them worrying about bringing supplies. I did when I first started small-group math, and it killed a TON of time. With such a short time for mini-lesson, I now keep all our materials (pencils, highlighters, expo markers) in a tri-container I found at Ikea. All students need to bring is their Blue Math folder.

Guided math teaching table

I’ll be honest, small-group math is definitely messy. My teacher table routinely looks like this – piles of rods, ten frames, and number lines strewn about…but that’s okay! We accomplish so much in our 17-20 minutes together.This time is hands-on and engaging. Students are building a conceptual understanding of numbers and that is critical!

Guided math teaching table

Our time spent at teacher table is typically broken into a quick fluency/skill game (a 2-3 warm-up), a mini-lesson (5-6 minutes), guided practice (4-5 minutes), independent practice (4-5 minutes), and a quick assessment (2-3 minutes). Below is an example of our Making 10 to Add independent practice -which is almost always based out of manipulatives and concrete learning!

Guided math teaching table

What are students doing when they’re not with the teacher?

While I am working with a group of students (6-8 students at a time), my other friends are working at the other parts of the Daily 3 – math by myself and math with a friend. I do substitute Math By Myself for DreamBox (a District Math program – technology based) as my friends are expected to log time on this program each day. HERE you can watch a FREE video about how I organize and run math centers in my classroom.

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During math with a friend, I offer students 5 centers a week. Students choose which center to visit each day but they need to visit all five by the end of the week. One center is always math notebook, one center is always Versatiles or Solve the Room. I am only introducing 3 new centers each week (although we have practiced these activities in small groups at some point, so they’re not completely new). Typically, 2 of the centers are spiral review and the 3rd center relates to our current learning.

I store our math centers in large Sterilite containers (I buy them in sets of 6) with all the materials students might need.

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To make guided math work, I know I have to maximize my teacher table time. So if students at centers are asking me questions or interrupting, my friends at teacher-table are losing out on their core math time. Therefore, it is essential that students know where to find resources in the classroom and they know how to use them. Our manipulatives are stored to the left of the math tubs for easy access. Students know they can grab whatever math tool they need to do their work. (Labels can be found here.)

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Additionally, our number lines are hung in the front of the room from a Command Hook. This keeps the number lines organized and easily accessible to my small friends.

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How Do You Keep Students From Interrupting Teacher Table?

To help build independence, I also include visual directions on each of our math bins. These visual directions include an I Can statement, as well as, the center in action. This visual directions help students know how to set-up their materials, as well as, what materials they will need. (You can snag the Kinder visual directions, the 1st grade visual directions here and the 2nd grade here.)

Guided math

Guided math activities

These Making Numbers and 120’s Chart Puzzles will be 2 of our first 5 math centers for the year. we’ll practice these activities with partners (whole group) before we start centers, and then, when we’re ready to start rotating, students will practice with a partner.

Guided math activites

Students are trained to get the materials they need out of the bins and then, turn the bins on their sides. The large Sterilite containers will stand on their own and it makes a perfect focus for students. Below students are working with the Fact Family Triangles (from Amazon) and differentiated dice based on their math group.

Guided math

How do you differentiate your math centers?

Another component of independence during The Daily 5 and The Daily 3 is making sure that students are actively engaged in valuable work that is challenging to them. Differeniation is a key part to this independence. When they visit the individual centers/pick a tub, they know to grab their colored folder. Each bin contains the same activity, just a different set of numbers or a different pack of dice. (Green = approaching grade-level, yellow = on-grade level, blue = above-grade level)

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I also use these dice that I snagged on Amazon for $20 and organize them in a bead container. My pound of dice came with over 80 dice each with a different number of sides and colors – from 3-sided dice to 20 sided-dice, I have just-right dice for all of my groups. Read more here.
Guided math dice
Below you see my on-level group of friends working with fact families. They are using 2 yellow dice (a 6-sided dice and an 8-sided dice). My green group (approach grade level) did the same activity with the same recording page and the same Fact Family triangles, just using 2 6-sided dice, and my blue group (above grade level) used two 12-sided dice.
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When planning math centers, I want to ensure that students are engaged and working with hands-on materials. Our grade-level plans together and we are fully committed to making sure our centers are not one-time-use print/cut/laminate activities. We work to create activities that allow for spiral review, use throughout the year, and provide fantastic practice. Below you see two friends learning to find missing addends with rekenreks.
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Students will see the same center 2-3 times a year (depending on the skill and if it’s needed). As a number-sense review, we often rebuild the 120s chart. I copy charts on colored card stock and then, cut them into pieces. I color-coded the puzzles ROY-G-BIV with red being the most difficult and purple being the simplest (the more pieces/the more intricate the cut the more difficult). My kids are so ‘gamey’ that they love the idea of leveling up!

Guided math teaching table

We also love using our set of foam dominoesir?t=thebrobagtea 20&l=as2&o=1&a=B0080I497E for sorts. They’re perfect for adding and sorting types of strategies we might use to solve the addition sentences. For my above-grade level friends, they will often use double dominos and then, create word problems to accompany the sorts.

Guided math
I’ve shared about some of my other favorite Adding to 10 centers in this blog post.
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Some of our go-to centers are using bead racks, but they offer such a great visual of numbers! You can see how we use rekenreks in this blog post.
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And you can read more about and see some of my other favorite place value centers in this blog post!
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Guided Math Question- How Do You Enrich/Extend for Gifted Students?

Making sure every friend in my class has access to materials that push and challenge them is so important to me. Using the three-colored differentiation system, I intentionally plan and choose activities that work for all of my learners. Later in the year though, I do like to step outside of my math centers pack and introduce other enrichment options – math journaling and math puzzlers – for my high-flyers. These are the friends that are working a grade-level (or two) above 1st grade and the ones who sometimes struggle to show growth on District Assessment programs (STAR, MAP, etc.).

As teachers, our initial reaction is to say – “Hey, these friends know the first grade content. I’m time to move on.” – only to repeatedly hear from math coaches and administrators – “Don’t teach another grade level’s math content!” So, the question for the ages – if I can’t teach 2nd or 3rd grade content, how do I challenge these students and move them forward?

Math journals build flexibility in our math thinking and really challenge my high=flyers to think-through their mathematical processes. Additionally, many of our math journal prompts require students to consider how someone else solved the problem and to explain/defend/critique their process.

Guided math gifted students

I’ll will also pull-out Math Puzzlers. These puzzlers require students to apply their math skills in flexible and unconventional ways. Additionally, all three avenues require students to ask themselves “Does my answer make sense?” as well as, be able to justify their answers.

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So, tell me friends, how do you organize your math block? Do you use a Guided Math model with the meat of the mini-lesson happening in small groups or do you do more with whole group? What works in your classroom? Until then, you can sign-up here for Guided Math ideas and freebies to land in your inbox every month.

For more information and pictures about guided math and differentiation in my classroom, check out these posts!

Differentiating Math Centers with Dice

Launching Math Centers

WATCH Math Centers in Math Classroom (FREE VIDEO)

Must-Have Materials for Guided Math

Building Conceptual Understanding with Rekenreks

Math Tools You Can Make at Home

Number Talks: How and Why?

Online Math Manipulatives

AllAboutGuidedMath

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